The bellhop couldn't split the $5 so he gave each guest $1. He kept $2. instead of $10, each paid $9. 9x3=27 plus the 2 he kept. Where is the other dollar?
2006-07-27 02:46:32 · 13 answers · asked by mavijadi 1 in Science & Mathematics ➔ Mathematics
The other dollar is in the puzzle itself. You have made a mistake in calculating the problem.
Money given by Businessmen = money received by clerk
i.e. 3 * 10 = 30
now clerk gives back 5
the clerk has now 25
let money of business men = a
money of clerk = b
money of bellboy = c
Initially
a = b ...1st
Then
c = 5, b¹ = 25 & b¹ + c = 30
:a = b¹ + c ...2nd
Then
c¹ = 5 - 3 = 2
to get c¹ = 2 in 2nd equation we subtract 3 from both sides
a - 3 = b¹ + c¹ ... 3rd (here c is now 2)
Now a = 30, a - 3 = 27
the equation is still balanced
Now let a¹ = 27 (the new value of a)
a¹ = b¹ + c¹
Bringing c¹ to the other side
a¹ - c¹= b¹
27 - 2 = 25
So you see, you must not add 27 + 2 but rather subtract 27 - 2 to get 25 and not 30
2006-07-27 03:01:24 · answer #1 · answered by tuhinrao 3 · 0⤊ 0⤋
Ok, pretty easy... the wording is meant to trip you up...
So you have a $30 room that is discounted to $25. Therefore, in actuality each person paid $8 1/3 (or about .33 cents) for the room alone. Then, the bellhop kept $2 (or $2/3, or .66 cents, a person)... totaling up to $9 a person. However, the addition above is wrong... becasue the $9 per person already includes the 2 dollar tip to the bellhop, the $3 is obviously made up for by the $1 dollar given back to each person.
2006-07-27 03:03:21 · answer #2 · answered by AresIV 4 · 0⤊ 0⤋
2
2016-07-19 04:49:49 · answer #3 · answered by Janette 3 · 0⤊ 0⤋
There is no other dollar this question is just trying to confuse you. Think about it...
1) They all pay 10 dollars for a room
2) They are given five back, now ideally if the bell hop didn't keep anything, one of them would have gotten one dollar back, and the other two would have gotten two dollars back...so 8+8+9=$25
3) Therefore, each of them did not pay nine dollars, because the bell hop kept two of their dollars.
The tricky part about this question is where they say 27+2 should be thirty. This is wrong. Ideally, it should be 27-2 should be 25, or better yet, 27+ the 3 dollars that the people got back should equal $30.
Hope you understand that!
2006-07-27 02:54:45 · answer #4 · answered by jujz 2 · 0⤊ 0⤋
30-5=25 dollars. 25 plus the 2 he kept plus the 3 he returned is 30. they paid 8.33 a piece not 9.00.
2006-07-27 02:56:09 · answer #5 · answered by mathew m 1 · 0⤊ 0⤋
They only paid $29 for the room ($25 plus $2 tip). So there is no extra dolar.
2006-07-27 02:55:05 · answer #6 · answered by Randy G 7 · 0⤊ 0⤋
your computation is tricky.... but it is just the partial truth...
collectively: the three people payed $30 but the hotel decided to lower it down to $25
now you should compute on how much each payed:
25/3 = 8.33 <-- this is the real amount...
since the bellhop gave them $1 each.... it will make them have 9.33 dollars each... sum up... it will reach 27.9999 no missing dollar :P
2006-07-27 02:53:40 · answer #7 · answered by d_creeper18 1 · 0⤊ 0⤋
i've seen this question in any number of forms a zillion qquadrillion time in these questions now.
Why the fluc do you add the two to the 27? add the three. The two is already included in the 27.
2006-07-27 02:59:14 · answer #8 · answered by blind_chameleon 5 · 0⤊ 0⤋
i heard this last year, the way u explained it is not right, i mean its supposed to be said that way to make it sound correct but it really isnt
2006-07-27 02:54:17 · answer #9 · answered by JC90 4 · 0⤊ 0⤋
It works if you add but not if you multiply. You know what this means don't you. MATH is WRONG!! Life as we know it is a lie!!!
Well at least thats what I think.
2006-07-27 02:52:48 · answer #10 · answered by hypedupbunni 1 · 0⤊ 0⤋