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Q:Three travellers meet each other for a meal.One of them

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Q:Three travellers meet each other for a meal.One of them [#permalink] New post 17 Sep 2006, 12:46
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D
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Q:Three travellers meet each other for a meal.One of them had 9 loaves of bread, the second had 15 loaves of bread and the third had no food.They shared the food among them equally.If the third person paid $16 for his share of food, how should the first and second person respectively share this amount?
A:$4,$12 B:$8,$8 C:$6 $10 D: $2 $14
Please help me understand and solve the question.
Thanks
:-D
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 [#permalink] New post 17 Sep 2006, 12:51
C IS MY ANSWER

16 IS FOR 8 LOAFS OF BREAD THEN THE OTHE 16 LOAFS ARE FOR 8*2 = 16

THE RATIO IS 9:15 = 3:5

16/8 = 2

3*2 = 6 , 5*2 = 10

6,10
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 [#permalink] New post 17 Sep 2006, 12:52
C as well :)
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Ratio Proportion [#permalink] New post 17 Sep 2006, 13:11
Thank you guys for the prompt answer. I even got the same answer but wanted to see if I was missing something here. But the key is given as choice D explaining that first and second persons share the amount in ratio 1:7 which doesn't seem to make sense to me. Any comments.
Thanks
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 [#permalink] New post 17 Sep 2006, 18:50
Folks, all of u got this wrong...........

Look at the question carefully.
A had 9 loaves
B had 15 loaves.
C had 0 loaves.

Now they divided this equally among themselves , so each of them get 8 loaves.

This means A has given 1 loaf and B has 7 loaves to C.

Since A paid 16$ this mean each loaf cost 2$.
In the question he asked us
how should the first and second person respectively share this amount?

Since A has given 1 loaf it means he contributed 2$ dollars out of 16$
Obviously B must contribute remaining 14$. (or 7x2$=14$)
Hence the answer must be D.

Huh, this is all about GMAT man............
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Last edited by cicerone on 25 Sep 2008, 00:24, edited 1 time in total.
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 [#permalink] New post 18 Sep 2006, 02:45
cicerone wrote:
Folks, all of u got this wrong...........

Look at the question carefully.
A had 9 loaves
B had 15 loaves.
C had 0 loaves.

Now they divided this equally among themselves , so each of them get 8 loaves.

This means A has given 1 loaf and B has 7 loaves to C.

Since A paid 16$ this mean each loaf cost 2$.
In the question he asked us
how should the first and second person respectively share this amount?

Since A has given 1 loaf it means he contributed 2$ dollars out of 16$
Obviously B must contribute remaining 14$. (or 7x2$=14$)
Hence the answer must be D.

Huh, this is all about GMAT man............


Yes :) Thanks for the explanation... I felt in the trap ;)
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 [#permalink] New post 19 Sep 2006, 12:07
9 + 15 = 24 loaves

$ for Travler with 9 Loaves: 16/24 * 9 => 6
$ for Traveler with 15: 16/24 * 15 =>10

C is my choice
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 [#permalink] New post 19 Sep 2006, 12:25
D: $2 $14

Let a = 9, b= 15, c = 0 # of loaves of bread

If they shared their food equally then each traveller had (a+b+c)/3 = 8 loaves of bread.

For a to have 8 loaves, he should give up 1
For b to have 8 loaves, he should give up 7

Ratio of food given up a:b = 1:7

or a: (a+b) = 1:8

As money should be shared proportional to the bread,
a:16 = 1:8

or a = 2 => b = 14

Therefore D.
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Re: PS Ratio Proportion [#permalink] New post 19 Sep 2006, 12:27
srichaks wrote:
Q:Three travellers meet each other for a meal.One of them had 9 loaves of bread, the second had 15 loaves of bread and the third had no food.They shared the food among them equally.If the third person paid $16 for his share of food, how should the first and second person respectively share this amount?
A:$4,$12 B:$8,$8 C:$6 $10 D: $2 $14
Please help me understand and solve the question.
Thanks
:-D


D it is.

A has 9 loaves, B has 15 loaves and C has none.
Total Number of loaves is 15+9=24 loaves
Shared by 3 people, so each person gets 24/3= 8 loaves
C pays $16 for 8 loaves, so each loaf costs 16/8= $2
A had 9-8=1 extra loaf (excluding wot he consumed), so he gets $2
B had 15-8=7 extra loaves , so he gest 7*2= $14.

hence, A:B= 2:14
Re: PS Ratio Proportion   [#permalink] 19 Sep 2006, 12:27
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