Thursday, November 15, 2007

7th and 8th Grade POW Nov. 12th

IMPORTANT Please Read!!!!
I have a number of post from the 7th Grade class that have no names. :-( If one of the POWs is yours and there is no name on it you MUST see me. Mid terms are coming out if you want credit for this POW, see me before the break!!!



P.S. See below for further submission check out the final submission!



Here is one of my favorite POWS, I hope you enjoy it as much as I do. Also check out the, Your Place Link. I have added it for work that you submit that has tables, graphs, visuals, powerpoints... I will be adding more and more of your work.

Good Luck with the problem.
Ms. L.



Three monkeys walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.
Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey 1 banana, keeping the other 2 bananas for himself. Ultimately each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.
Where did the extra 1 banana go?



Here are a few more student posts:


B.B


When the monkeys entered they paid the fee of 30 bananas, but the clerk made a mistake and it was 25 bananas so he gave the 5 bananas to the bellboy to give back evenly. But he didn’t, to make it easier on himself he decided to give 1 to each monkey and keep the two to himself.

So when I plotted on the table missing bananas, you find out if you add it up you find there was no missing banana! ~!!YAY!!~

The equation is 29=9x3+2



Each monkey paid 10 bananas but got one back. They ended up with one banana each. The bellboy ended up with two bananas. The clerk ended up with one banana. If you add all the bananas up together, they equal 30. This shows that there is no missing banana. Each monkey paid 9 bananas so 9x3=27. The monkeys didn’t get the two bananas they should have gotten, the bellboy has them, and so if you subtract 27-2 it equals 25, which is what the clerk got. So if you add the two bananas the bellboy has plus the 3 bananas the monkeys got back plus 25, there is no missing banana. The other strategy of 9x3+2= 29 is wrong because instead of adding the two bananas, you have to subtract them so the equation would be 9x3-2=25 then 25+5=30
By AH

This table shows what had happened in the problem. The first column shows that none of the three monkeys paid. Then the next row shows that the monkeys paid for the room so the desk clerk has 30 bananas. The third row shows that when the Desk Clerk gave the Bell Boy 5 bananas because the room was actually 25 bananas, so to make things easier he gave each monkey back 1 banana and kept 2 for himself…….In conclusion there is not a banana missing.












Add On: The problem misleads you by saying they paid 9 bananas, but if they each paid 9 then the room would cost 27 not 25. It also misleads you because in reality they didn’t pay 9 each the desk clerk just had 25 Bananas.
JL







S.V


The problem asked us to figure out where a missing banana went after three monkeys paid for 1 hotel room. The “missing” banana didn’t go anywhere. I organized the problem in a table and the highlighted column shows how many bananas the monkeys all ended up with and it adds up to 30 because the desk clerk has 25 bananas, not 27 which is the way the problem words it, the bell boy had 2 bananas and each monkey has one banana. 25+2+1+1+1=30!! The way in the problem doesn’t work because of the way it’s worded. People take an approach to the problem based on the way that it’s worded but you just have to think about it more deeply and approach it from a different direction.

JW


















And last but not least : The profound mathematical submission of KG EM KT - thank you gentleman, it's all so clear now!!!

Ms. L.

this is proof that the monkey ate the bananasent by:KG EM KT



48 comments:

Anonymous said...

3*9+2=29 Original Equation
25+3+2=30 New Equation
There wasn’t an extra banana in the problem.
The clerk has 25 bananas. The clerk sends the bell monkey back to give the 5 bananas to the three monkeys. To avoid a mess the bell monkey keeps 2 bananas and gives each monkey 1 banana. This means that each monkey has one extra banana for a total of 28 bananas plus the two bananas the bell monkey had equals 30 bananas, or one of the monkeys got hungry and ate one.
e.ma

Anonymous said...

9*3+2=29
25+3+2=30
Three monkeys walked into a hotel. The manager says that it coasts 30 bananas 4 a room. Each monkey pays 30 bananas and then the manager realizes that it only coasts 25 bananas so the manager tells the bellmonkey to give back 5 bananas. To avoid making a big mess the bell monkey gives back 3 bananas to the three monkeys and the bellmonkey keeps 2 bananas. So the hotel manager has 25 bananas, each of the three monkeys has 1 banana equaling 3 bananas. The bellboy has two bananas equaling thirty bananas.

Or like Erik said, one of the monkeys got hungry and ate one.

posted by K.T.

Anonymous said...

3*9+2≠30

After the motel manager makes his mistake on the price which was actually 25 bananas rather than 30 he gave the extra 5 bananas to the bellboy to give back to the monkeys. The equation 3*9+2=30 was an incorrect way to right the problem. If the manager gave the bellboy 5 bananas to return to three monkeys then they would each receive 1 dollar for a total of 28. If the bellmonkey took 2 bananas then together they would have a total of 30 bananas.

The actual equation: 25+3+2=30-5+3+2

KG

Anonymous said...

JJ
There was no extra banana.
Each monkey pays 10 bananas so there was 30 bananas.
3*10=30
Then the clerk said that the room only costs 25 bananas so he tells the bellboy to give the bananas back.
3*10=30-5
He gives the monkeys back a banana back to each keeping two for himself.
25+3=28+2=30
The cost was 25 bananas and the bellboy gave three bananas back to them ,one to each monkey, and took two. 25+3+2=30
What they did was they made it so the monkeys all got one back making it nine each thinking there was an extra banana. 9*3=27+2=29
They should have added the three bananas to the cost of twenty five bananas for the hotel room.

Anonymous said...

This weeks POW asked us a question about bananas in the form of money. Three monkeys walk to a motel and pay 30 bananas, 10 each, for a room. Then the monkeys are supposed to get a refund of 5 bananas, yet the bellhop doesn’t want to do that much work. He decided to keep two bananas for himself, and give them one each. After restating the problem, they seem to be missing one banana. The question is where did it go? To solve this answer, a person should write an equation for this problem. Since it had two parts, you needed to put operations on each side of the equation sign. The equation I chose was 25+3+2=30-5+3+2. On the left of the equal sign, this is represented by the 25 paid at the motel after the monkeys were refunded. That plus the three bananas the monkeys got refunded and the two the bellhop took. That side equaled a total of 30 bananas. On the other side, 30 was what the motel started with, minus the 5 refunded, plus the three returned, and plus the two the bellhop stole. This side equals 30 as well. So, as a total, the equation at its end was 30=30. The end of this problem was there to confuse you.

This is my POW for this week.
D.M.

Anonymous said...

Three monkeys walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.
Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey 1 banana, keeping the other 2 bananas for himself. Ultimately each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas. Where did the extra 1 banana go?

Three Monkeys

Money #1: 10 bananas
Monkey#2: 10 bananas
Monkey#3: 10 bananas

Clerk gives 5 back, making the cost 25.
Bell boy has to split bananas into three.
Doesn’t feel like making a big mess so he takes 2 bananas and gives the other three to the other monkeys.

25 hotel cost
There were three monkeys which make three bananas and the bell boy kept the two other bananas to him…so technically, there wasn’t and “extra banana” to begin with.

v.b

Anonymous said...

Our P.O.W this week asked us a question about bananas in the form of money. Three monkeys walked into a motel and asked for a room. The room costs 30 bananas so they paid 10 bananas each. Later, the clerk realizes he made a mistake and the room was only 25 bananas so he asks the bellhop to give the monkeys back their 5 bananas. Since the bellhop was selfish he took 2 bananas and only gave the monkeys 1 banana each. So really the monkeys paid 9 bananas each. Then the problem asks where did the extra banana go. First, what I did was write an equation for the problem. There is two parts to this equation so you need to put operations on both sides of the equal sign. This was my equation: 25+3+2=30-5+3+2. The left of the equal sign is the 25 paid after the monkey’s got the refund, the 3 is bananas the monkeys got refunded and the 2 is the bananas the bellhop took. The left side of the equation equals 30 bananas. On the right side the 30 was the bananas the monkey’s originally paid. The minus 5 is the refunded amount, the 3 is the bananas the monkeys got back and the 2 is the bananas the bellhop took. The right side equals 30 too. So the total on both sides is 30=30. The last part of the problem was a trick there was never an extra banana left. That is my P.O.W. for the week.
25+3+2=30-5+3+2
28+2=30-5+3+2
30=25+3+2
30=28+2
30=30


M.G.

Anonymous said...

Our P.O.W this week asked us a question about bananas in the form of money. Three monkeys walked into a motel and asked for a room. The room costs 30 bananas so they paid 10 bananas each. Later, the clerk realizes he made a mistake and the room was only 25 bananas so he asks the bellhop to give the monkeys back their 5 bananas. Since the bellhop was selfish he took 2 bananas and only gave the monkeys 1 banana each. So really the monkeys paid 9 bananas each. Then the problem asks where did the extra banana go. First, what I did was write an equation for the problem. There is two parts to this equation so you need to put operations on both sides of the equal sign. This was my equation: 25+3+2=30-5+3+2. The left of the equal sign is the 25 paid after the monkey’s got the refund, the 3 is bananas the monkeys got refunded and the 2 is the bananas the bellhop took. The left side of the equation equals 30 bananas. On the right side the 30 was the bananas the monkey’s originally paid. The minus 5 is the refunded amount, the 3 is the bananas the monkeys got back and the 2 is the bananas the bellhop took. The right side equals 30 too. So the total on both sides is 30=30. The last part of the problem was a trick there was never an extra banana left. That is my P.O.W. for the week.
25+3+2=30-5+3+2
28+2=30-5+3+2
30=25+3+2
30=28+2
30=30


M.G.

Anonymous said...

The POW stated that three monkeys walk into a motel and asked for a room. The desk clerk says that a room costs 30 bananas therefore each monkey contributes 10 bananas. The clerk then realizes that the room should have cost 25 bananas instead of 30 and asks the bellboy to refund the other 5 bananas to the 3 monkeys. The bellboy did not want to distribute the 5 bananas three ways and lies about the price and gave each monkey 1 banana instead, keeping the other bananas for himself. Each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. The original charge was 30 bananas. Where did the extra banana go? This problem was a tease on the brain.
The first step was to evaluate the situation into an equation. There is two parts to the problem so the equation has to have operations on either side of the equals sign. The equation was 25+3+2=30-5+3+2. To the left of the equation represents the 25 bananas paid after the monkeys were refunded, the 3 is the amount that they were refunded by the bellboy, and the 2 is the amount of bananas that the bellboy kept. This should become 30 bananas. To the right side of the equal sign is 30 which represents the original cost that the monkeys paid, and then the 5 represents the number of bananas that the clerk refunded the monkeys, plus the 3 that the bellboy refunded the monkeys, and the 2 representing the number of bananas that the bellboy kept. This side of the equation show is equal to 30 as well.
Here are the steps in solving the equation:
25+3+2=30-5+3+2
28+2=30-5+3+2
30=25+3+2
30=28+2
30=30
Overall this was a trick question because in turn there was not an extra banana.

DG

Anonymous said...

Three monkeys walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.
Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey 1 banana, keeping the other 2 bananas for himself. Ultimately each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.
Where did the extra 1 banana go?

Monkey 1: 10
Monkey 2: 10
Monkey 3: 10
Bellboy: 2

The clerk gives 5 bananas back making the cost 25 bananas. The clerk gave the bellboy the 5 bananas to give back to the 3 monkeys. The bellboy decided to keep 2 for himself and refunded back 3 to the monkeys. Each monkey got 1 banana back which means that they only paid 9 bananas each.

25 bananas was the cost of the hotel. There were 3 monkeys which makes 3 bananas and the bellboy kept 2 for himself. Everything adds up so there wasn’t really an “extra banana.”

LN

Anonymous said...

k.a.

Room cost- 30 bananas
Edited room cost- 25 bananas
Monkey 1- 1 banana
Monkey 2- 1 banana
Monkey 3- 1 banana
Bellboys bananas- 2

30=25+3(1)+2
30=25+3+2
30=28+2
30=30

Anonymous said...

Iw
this is a trick question. You have to think about the people who have the bananas. 25for the clerk, 2 for bellboy, 3 for the monkeys. 3+2+25=30, which is the origional cost that the monkeys paid for the room. there was no 'lost banana'.
iw

Anonymous said...

A.L.
POW

Our POW this week involves three monkeys on the planet of the Apes trying to check into a motel room. The three monkeys pay thirty bananas but it is learned that there was a mistake made and they paid too much. The bellboy tricks them and gives them each one banana back each rather than five total and kept two for himself, but there is a missing banana…
First, I will state the factors of the problem…
The room cost………30 Each monkey pays…10
Supposed refund……5
Each monkey refund..1
Total refund amount...3
Bellboy’s amount……2

This explains the total amount of bananas there was:
(X=1)
1x+1x+1x+2+25=30

30=28+2 Break this apart now…
30=(9*3)+2+1
30=29+1
The one above is the missing banana!

The 28 comes from 9*3 which equals 27 this is where the missing banana is. It was added automatically to the three monkeys’ bananas to make 28. Then Break apart the whole equation. The motel has 25 and the bellboy has, but for the entire equation to work, the motel and clerk must be added together. Then, the equation would be uneven. To even out the equation, somewhere, between the clerk and bellboy, they have the extra banana, or the equation won’t work and will be uneven.

Anonymous said...

RW


B= clerks bananas
b= Bellboys bananas
M= the monkeys left over bananas


BBBBBBBBBBBBBBBBBBBBBBBBBbbMM

There is no extra one banana
The clerk took twenty five the bellboy took two and the
Monkeys had 3 left over.

Anonymous said...

JS

Each monkey has 1 banana because the motel refunded it to them.
This equals three bananas.
The motel has the 25 bananas that the moneys paid them.
The bellboy has 2 bananas that he took from the original payment.
If you add 3 (the bananas that the money have) and you have the two bananas that the bellboy has.
It equals 5 bananas.
5 Bananas plus the original 25 bananas that the motel has, equals 30 bananas.
So the “1 banana” never went missing. =]

Anonymous said...

J.B.



You are left with 3 bananas because each money was given back 1 banana.

The bellboy has the 2 bananas that he took away from the 5.

The motel has the original 25 bananas that was paid.

If you add 3 bananas that they were giben back and you have the 2 bananas that the bellboy has.

It equals 5 bananas.

5 Bananas plus the original 25 bananas that the motel has, equals 30 bananas.

Anonymous said...

There are three monkeys. Each one of the monkeys pays 10 bananas to pay off the hotel room. The clerk realizes that he was only suppose to charge 25 bananas instead of 30, so he told the bell monkey to give 5 bananas back to the three monkeys. The bell monkey is being greedy so he only give them back 1 each instead of splitting the 5 bananas equally, he took 2 for himself. Unfortunately, the monkeys only paid 9 bananas each and the bell monkey got 2. This left a total of 29 bananas. There were a total of 30 bananas. Where did the extra banana go?
The clerk has 25 bananas because he gave 5 bananas to the bell monkey so that he could give back the 5 bananas back to the three monkeys. The monkey kept 2 and gave three back to the three monkeys. This would mean that the monkeys had 28 bananas and the bell monkey had 2. If you add this together you get 30 bananas. This would mean that there wasn’t an extra banana.

CT

Anonymous said...

d.c.

the cost of the room was 30 bananas.
that means that the each monkey paid 10 bananas.
the real cost of the room was 25 bananas.
thats means that there was 5 bananas left.
the bellbot gave each monkey 1 banana.
that means that the bellboy had 2 for him self.
if you add up all of thoes bananas you will get 30
so there is no one banana left

Anonymous said...

C.K
In this POW the story solves the problem in a different way then I would have to get the right answers of 30 bananas at the end. They use the equation of 9(m) +2 = 30 – 3 + 2. The 9(m), m for monkeys, represents the 9 bananas that each monkey ultimately paid. Next they added 2 bananas for the 2 that the bell boy kept. This is the same as taking the original 30 bananas and subtracting the 3 they gave back to the monkeys and adding the 2 they paid the bellboy, getting an answer of 29 bananas each way. The equation I used to end up with the original 30bananas is 10(m) = 25 + 2 + 3. The 10(m), m, once again for monkeys, times 10 = 30 the total bananas paid. The 25 + 2 + 3 is the 25 bananas for the room plus the 2 for the bell boy and the 3 the monkeys got back. Using my equation you will end up with all of the 30 bananas at the end.

Anonymous said...

C.K
In this POW the story solves the problem in a different way then I would have to get the right answers of 30 bananas at the end. They use the equation of 9(m) +2 = 30 – 3 + 2. The 9(m), m for monkeys, represents the 9 bananas that each monkey ultimately paid. Next they added 2 bananas for the 2 that the bell boy kept. This is the same as taking the original 30 bananas and subtracting the 3 they gave back to the monkeys and adding the 2 they paid the bellboy, getting an answer of 29 bananas each way. The equation I used to end up with the original 30bananas is 10(m) = 25 + 2 + 3. The 10(m), m, once again for monkeys, times 10 = 30 the total bananas paid. The 25 + 2 + 3 is the 25 bananas for the room plus the 2 for the bell boy and the 3 the monkeys got back. Using my equation you will end up with all of the 30 bananas at the end.

Anonymous said...

A.M.

The three monkeys paid 30 bananas to start with. Then the clerk realized he made a mistake and told the bellboy to refund the monkeys 5 bananas. The bellboy decided to keep 2 bananas so the monkeys were refunded only 3 bananas. Since the room cost 25 bananas and they were refunded 3 bananas that makes it 28 bananas but since the bellboy took 2 bananas the total bananas was 30.
(10+10+10)-5+3+2=30
30-5+3+2=30
25+3+2=30
28+2=30
30=30

Anonymous said...

The problem says that there are only 29 bananas left because of the way the problem was stated. An equation to say for what the problem was stated as was: 9(m)+2=(30-3)+2 where m= monkeys and there are 3 monkeys so you would plug that in as:9(3)+2=(30-3)+2
27+2=27+2
29=29
Where as the equation was supposed to be: 10(m)=25+2+3
In this case, the 25 is how much they paid for the room, 2 is for how much the bellboy got, and the 3is the amount the monkeys got back.
This would mean that each monkey paid 9 bananas and then adding 2 for the bellboy which is wrong because the room was only 25 and 9x3 is 27 which means that the amount the bellboy got was already added to the amount which was kept, then you would add the amount the monkeys got back (3) and get 30! Which would mean the only problem was that the situation was stated wrong.

AR.

Anonymous said...

cvdv

The phrasing of the words in the problem suggests that the 3 monkeys paid 25 plus they paid for the two that the bellboy had. Then the problem restates that the bellboy had 2 bananas and adds this on to the total number of bananas. This leaves 27. What really happened was that the three monkeys paid 25 bananas altogether, and received 3 plus the 2 that the bellboy had. This equals 27.

So when the problem explained that the monkeys had to pay for the bellboy, the problem led the illusion that the 3 bananas that the monkeys had were included, when really the bananas that were included were the bellhops. Then they added the bellhops bananas again which equals 29.

Anonymous said...

A.H.
While ultimately there were 30 bananas involved in this particular scenario, the problem is technically wrong. While the bell boy kept two bananas, the monkeys paid 27 together, and they receive 3 back, the problem is configured in that it appears that the creators correctly solved. They say that
30 = 9 x 3 + 2 + the extra 1.
However, this is the cost. The key factor is that the bell boy is NOT contributing to the payment; quite the contrary.
It really should be that the monkeys pay 30, receive five back but the bellboy keeps two. So it should be:
30 = 3 x 9 + (5 - 2)

Another way to prove that the solution is poorly stated is this equation:
30 = 10 x 3 - 5 + 3 + 2
30 = 10 x 3 + -5 + 3 + 2
35 = 10 x 3 + 3 + 2
32 = 10 x 3 + 2
30 = 10 x 3
30 = 30
This was solved correctly and is valid to the equation, and it fits. Ultimately, there is no extra banana!!!!!!!

Anonymous said...

DGT

This problem made me go bananas trying to figure it out. But, once I got the problem, it was actually quite easy. The problem goes like this:

The monkeys all pay 10 bananas.
Then, the clerk sends the bellboy to give them five bananas back for the refund.
The bellboy takes two of the bananas for himself, and give the monkeys the other three, which they split up between themselves, one for each.
The bellboy then gets away with two bananas for himself.
The problem only needs to be worked backwards, see?
The banana in words, never actually exists, because when you say the problem forwards, then its wrong, but when you work it how it actually is, it all makes sense 


In other words, the problem in equation form would be as follows:

0+30=30
30-5=25
25+3=28
28+2=30

Anonymous said...

There were 3 monkeys that wanted to stay at a motel. The clerk says the room costs 30 bananas. Each monkey pays 10. The clerk realizes that the room was only 25 bananas. He asks the bellboy to give the monkeys back the 5 bananas. The bellboy only gives the monkeys back 3 bananas. He keeps the other two. The monkeys end up paying 9 bananas for the room and the bellboy has 2. Where is the last banana? This is a brain teaser. It is designed to confuse you. When you look at this problem, you automatically look back at the original cost; 30 bananas.
So the first thing we did was figure out the equation for the problem; 25+3+2=30-5+3+2
The 25 on the left side was the real cost of the room, the 3 on the left side was how much the bellboy refunded the monkeys, and the 2 on the left side was how much he kept for himself. The 30 on the right side was the original cost that the clerk said, the 5 on the right side was how much the clerk gave to the bellboy to refund to the monkeys, the 3 on the right side was how much the bellboy refunded the monkeys, and the 2 on the right side was how much the bellboy kept for himself.
Our next step was to solve the equation:
25+3+2=30-5+3+2
28+2=30-5+3+2
30=30-5+3+2
30=25+3+2
30=28+2
30=30
The last part of the problem was a trick; there never was an extra banana as you can see from the equation I just solved. It didn't go anywhere; it was always there.

R.S.

Anonymous said...

The owner of the motel had 25 bananas. The monkeys had three more. So if the bellhop had two this comes back to thirty totals. So this can be said that there was never a missing banana. If the monkeys had only paid 9 each the total comes to 29. So if you look at it as the placement of the bananas.
K.B.

Anonymous said...

A.L.
POW

Our POW this week involves three monkeys on the planet of the Apes trying to check into a motel room. The three monkeys pay thirty bananas but it is learned that there was a mistake made and they paid too much. The bellboy tricks them and gives them each one banana back each rather than five total and kept two for himself, but there is a missing banana…
First, I will state the factors of the problem…
The room cost………30 bananas
Each monkey pays…10 bananas
Supposed refund……5 bananas
Each monkey refund..1 banana
Total refund amount...3 bananas
Bellboy’s amount……2 bananas

This explains the total amount of bananas there was:
(X=1)
1x+1x+1x+2+25=30
Now to find out the missing banana:
30=25=3(1)+2
30=25+3+2
30=28+2
30=30
The one above is the missing banana!
The One is not missing but it was used as a number that was multiplied by three, so that would make three, so the one wasn’t missing it was hidden. The one was used to be multiplied by three, so it appeared to be missing, even though it was always there being used, but where it was paced and how it was used made it seem as though it wasn’t there.

Anonymous said...

E.H.

Its simple really you just have to look at it like a riddle, and in riddles the straight forward answer is never correct. Lets look at it the straight foreword way, each monkey paid 9 dollars, and the bellboy stole 2, 9 X 3 + 2 = 29, so where did the extra banana go, well now lets work it through backwards, 30 - 5 = 25, plus two from the bell boy 25 + 2 = 27, divided by 3 27/3 = 9, the amount each monkey paid for the room. See all you have to do is work it backwards and there is no missing banana the reason there was a missing banana before is because the problem was changed to 9 times 9 plus two, which is a completely different then the problem we started with.

Anonymous said...

POW C.H.

There are 30 bananas total, and each monkey paid 10. If 5 bananas are given back and the bellboy only gave 3 bananas to the monkeys and kept 2 bananas for himself.


The banana didn’t go anywhere. The author of this problem was just trying to trick you. Because the clerk had 30 bananas and gave 5 to the bellboy to give back to the monkeys, but the bellboy only gives 3 to the monkeys. The author tricked us by adding the 9 bananas each monkey paid and the two the bell boy kept for himself making 29. But what is really going on is that the clerk had 30 bananas and gave 5 to the bellboy to give back to the monkeys and he now has 25 bananas. The bell boy gives 3 to the monkeys and keeps 2 for himself. So, there are 5 bananas the clerk doesn’t have plus the 25 he does have equals 30 bananas.
30-5=25+2=27+3=30 bananas

Anonymous said...

J.B. POW

The Banana didn’t go anywhere, the clerk gave back 5 bananas the bellboy kept two and he gave the monkeys three so then I did 25+3 for the bananas the bellboy gives back to the monkeys and also added 2 because of the ones the bellboy kept that equals thirty meaning that there are no bananas missing. It’s a trick question.

Anonymous said...

25 bananas paid for the room
+3 paid back to the monkeys
+2 stolen by the bellboy
____
30 bananas

The monkeys didn’t pay 9 bananas each because you would have to have 28 bananas and 9*3=27 not 28 (28+2=30). Also 9/8 is 3.1111111… not just 3 monkeys. Also, if you add up 25, 3 and 2 they all equal 30. Concluding that there isn’t a banana missing it’s just the monkeys didn’t pay 9 bananas each, so the writer is wrong.
R.B.

Anonymous said...

Three monkeys each paid 10 bananas for a 30 banana room.
Then the clerk realizes he made a mistake and the cost of the room is actually 25 bananas.

So, the clerk gives the bellboy to give the monkeys back 5 bananas. So, now the clerk has 25 bananas. The bell boy realizes that it wouldn’t be fair to the monkeys because there are 5 bananas and only 3 of them, so he keeps 2 of them for his self. When he gets to the monkeys, he give each of them one back. What the information isn’t counting is the bananas the monkeys got back.
So…
25+2+3=30


The problem assume 9x3=27 + 2 is the problem. But really it is,
30-25=5
5-2=3
3-3=0

JL1

Anonymous said...

Ok, so there are five monkeys, and the bananas are all somewhere between them.
Here are the things I know about the bananas in order.

The monkeys each starts out paying 10 bananas, so the clerk has 30, but then you subtract 5, because he gave five to the bell boy. At this point, each monkey has 0 bananas, the clerk has 25, and the bell boy has five. That equals 30. Then the bell boy gives the monkeys 3, so now the bell boy has 2, the monkeys have 3, and the clerk has 25. That is how all the bananas are separated. The thing that makes this POW hard to do, is that they say that they owe 9 each, but they all owe only 25, and 9 multiplied by 3 equals 27, which is 3 more, so there are no bananas missing.
JW

Anonymous said...

The monkeys each gave 30 bananas to the clerk. 10 from each monkey.
Then the clerk realized that the price is actually 25 bananas. The clerk gives the bellhop 5 bananas to give back to the monkeys. Now the clerk has 25 bananas and the bellhop has 5. The bellhop decides to only give three back to the monkeys and keep two for himself now the clerk has 25 and the monkeys have 3 three- which the problem forgets to tell us- and the bellhop has 2.

25+3+2=30

So the whole problem is that we just assume 9x3 is 27 plus the 2 that the bellhop keeps is 29 but now the clerk has 25 plus the 3 that the monkeys got back plus the 2 that the bellhop kept. So, nothing happened to the one banana. The problem just didn’t thoroughly explain what the monkeys had after the bellhop gave them the bananas back.

EMK

Anonymous said...

J.K. the Blondie 11/16/07

Three monkeys walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.
Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey 1 banana, keeping the other 2 bananas for himself. Ultimately each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.
Where did the extra 1 banana go?

There is no banana missing. The monkeys paid 10 bananas each. When the actual price was 25 bananas, the bellboy gave each monkey one banana back. So each monkey paid 9 bananas, or 27 put together. The price was 25 bananas so the bellboy took two more bananas off the total price of 27 bananas equaling 25 bananas.

Monkey #1= 1 banana left
Monkey #2= 1 banana left
Monkey #3= 1 banana left
Bellboy= 2 bananas
Clerk= 25 bananas left

25+2+1+1+1=30 bananas, not 29, therefore there is no banana missing.

Anonymous said...

Ok let’s see, the room is 30 bananas and they each pay 10 bananas. So they have no money left. (The monkeys) Then the clerk realizes he gave them the wrong amount (which really was 9 dollars each which came out to be the clerk having only 25 bananas)and he gives the bell boy 5 bananas back the bell boy decides to keep 2 bananas (cus he’s a bad boy) and gives back 3 bananas to teach of the monkeys.
The thing that’s wrong with the problem is there’s info missing about what the monkeys have. This is what it should have said: The clerk has 25 because he gives back 5 bananas. The bell boy has 2 bananas and the monkeys each have 3 bananas each. They leave out what the monkeys have and only say that they each paid 9 bananas for the room.

Anonymous said...

POW E.K.

I think the missing banana is not missing, it’s a trick. You see how it is said, “each monkey paid 9 and the bellboy keeps 2 but adds up t 29,” is a trick. If you look at it in an equation you would see this. 30-5+3+2=30. If you break it down. 30, the original cost, -5, the refund, =25, the correct price, +3, the amount given to the monkeys, +2 , the amount the bellboy kept =30.So the banana was not missing, just how the author says it, make it seem like it’s missing, but if you look at it it’s not.

Anonymous said...

The monkeys each gave 30 bananas to the clerk. 10 from each monkey.
Then the clerk realized that the price is actually 25 bananas. The clerk gives the bellhop 5 bananas to give back to the monkeys. Now the clerk has 25 bananas and the bellhop has 5. The bellhop decides to only give three back to the monkeys and keep two for himself now the clerk has 25 and the monkeys have 3 three- which the problem forgets to tell us- and the bellhop has 2.

25+3+2=30

So the whole problem is that we just assume 9x3 is 27 plus the 2 that the bellhop keeps is 29 but now the clerk has 25 plus the 3 that the monkeys got back plus the 2 that the bellhop kept. So, nothing happened to the one banana. The problem just didn’t thoroughly explain what the monkeys had after the bellhop gave them the bananas back. The problem in the blog doesn’t work without that piece of information or else it would be 3x9+2 which equals 29.

Anonymous said...

The monkeys each gave 30 bananas to the clerk. 10 from each monkey.
Then the clerk realized that the price is actually 25 bananas. The clerk gives the bellhop 5 bananas to give back to the monkeys. Now the clerk has 25 bananas and the bellhop has 5. The bellhop decides to only give three back to the monkeys and keep two for himself now the clerk has 25 and the monkeys have 3 three- which the problem forgets to tell us- and the bellhop has 2.

25+3+2=30

So the whole problem is that we just assume 9x3 is 27 plus the 2 that the bellhop keeps is 29 but now the clerk has 25 plus the 3 that the monkeys got back plus the 2 that the bellhop kept. So, nothing happened to the one banana. The problem just didn’t thoroughly explain what the monkeys had after the bellhop gave them the bananas back. The problem in the blog doesn’t work without that piece of information or else it would be 3x9+2 which equals 29.

EMK

Anonymous said...

D.E.

This is a very tricky word problem. I made a table on Microsoft Excel to organize my work. I find out that there is no missing banana. I found it out because all the 27 bananas paid by the moneys, minus the bellboy’s keep of two bananas become 25 bananas so no banana is missing; all of them are refunded or paid. And reversed it would become 25+2+1+1+1=30 bananas so no bananas are missing.
People/Monkeys Paid Refund Total Paid
Monkey #1 10 1 9
Monkey #2 10 1 9
Monkey #3 10 1 9
Bellboy 0 2 0

Anonymous said...

P. O. W.
O. S.
11/16/07

There is really no banana missing because even if the bellboy gave them 1 banana back each, it doesn’t mean they paid 9 dollars. The clerk still ends up with 25 dollars that they had paid for the room. For the other 5 dollars, 1 went to each of the monkeys and the bellboy took 2 and when you add that up to the check, it is 30 bananas.

Anonymous said...

Add on: The reason it works our way instead of the way it did say is because they say they paid 9 each person which was 27 then added the 2 from the bell boy. It doesn’t work that way because it forgets to add the 3 that the monkeys got back. If you say 9 bananas they paid and the bell boys banana then it comes out to be 29. the banana didn’t go anywhere you just have to say the clerk had 25 not 27 because they all the room was supposed to be 25 bananas not the monkeys paid 9 bananas each!!! So it should be the clerk ended up with 25. So 9 shouldn’t have even come up because it doesn’t say they paid 9 bananas each!!!!
sm

Anonymous said...

J.K. the Blondie 11/16/07


After reading the problem, I realized there was no banana missing. The monkeys paid 10 bananas each. When the actual price was 25 bananas, the bellboy gave each monkey one banana back. So each monkey paid 9 bananas, or 27 put together. The price was 25 bananas so the bellboy took two more bananas off the total price of 27 bananas equaling 25 bananas.

Monkey #1= 1 banana left
Monkey #2= 1 banana left
Monkey #3= 1 banana left
Bellboy= 2 bananas
Clerk= 25 bananas left

25+2+1+1+1=30 bananas, not 29, therefore there is no banana missing.

The stories way doesn’t work because they’re saying after the monkeys get their refund they pay 9 bananas so 27 bananas total. The bellman took 2 bananas so 27 plus 2 equals 29 bananas. The bellman didn’t take 2 bananas from the 30 before there were 27 bananas left. There were 27 bananas before the bellman took 2 bananas so you can’t add the 2 bananas the bellman took before he took them. The bellman then took 2 bananas equaling 25 bananas, the actual price.

Anonymous said...

There is no dollar missing. Each monkey got a refund of one dollar making the price for the payment 9 dollars and the Bell boy got two dollars because the actual price is 25 bananas. When you add the refund to and the bananas the Bell boy had the price will be 30 bananamonkeys

Anonymous said...

SCROLL ALL THE WAY DOWN... IS MY ADD ON!!!

Ok let’s see, the room is 30 bananas and they each pay 10 bananas. So they have no money left. (The monkeys) Then the clerk realizes he gave them the wrong amount (which really was 9 dollars each which came out to be the clerk having only 25 bananas)and he gives the bell boy 5 bananas back the bell boy decides to keep 2 bananas (cus he’s a bad boy) and gives back 3 bananas to teach of the monkeys.
The thing that’s wrong with the problem is there’s info missing about what the monkeys have. This is what it should have said: The clerk has 25 because he gives back 5 bananas. The bell boy has 2 bananas and the monkeys each have 3 bananas each. They leave out what the monkeys have and only say that they each paid 9 bananas for the room.




ADDED ON!!!
The problem mistakes you by saying they each paid 9 bananas because it says they paid 10 and got back 1 banana. But really it says the clerk had 25 bananas and that would be what you split ….not 9.
sm

Anonymous said...

C.H.C.

There is no dollar missing. Each monkey got a refund of one dollar making the price for the payment 9 dollars and the Bell boy got two dollars because the actual price is 25 bananas. When you add the refund to and the bananas the Bell boy had the price will be 30 banana

Anonymous said...

P.0.W.
M.R.G.

Three monkeys walk into a motel on the Planet of the Apes and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost. Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey 1 banana, keeping the other 2 bananas for himself. Ultimately each monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas. Where did the extra 1 banana go?

This is a trick question because 25 are not divisible by 3 so one monkey ends up paying 10 bananas unlike the others when they are paying 9.What helped me figure it out was by using pencils and counting them out. This is a tricky POW and I can see why this is one of your favorites.

What's my line?

What's my line?