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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]  17 Sep 2006, 12:46
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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 $14 Please help me understand and solve the question. Thanks SVP Joined: 05 Jul 2006 Posts: 1519 Followers: 5 Kudos [?]: 112 [0], given: 39 [#permalink] 17 Sep 2006, 12:51 C IS MY ANSWER 16 IS FOR 8 LOAFS OF BREAD THEN THE OTHE 16 LOAFS ARE FOR 8*2 = 16 THE RATIO IS 9:15 = 3:5 16/8 = 2 3*2 = 6 , 5*2 = 10 6,10 SVP Joined: 01 May 2006 Posts: 1805 Followers: 8 Kudos [?]: 98 [0], given: 0 [#permalink] 17 Sep 2006, 12:52 C as well Intern Joined: 12 May 2005 Posts: 32 Followers: 0 Kudos [?]: 4 [0], given: 0 Ratio Proportion [#permalink] 17 Sep 2006, 13:11 Thank you guys for the prompt answer. I even got the same answer but wanted to see if I was missing something here. But the key is given as choice D explaining that first and second persons share the amount in ratio 1:7 which doesn't seem to make sense to me. Any comments. Thanks Senior Manager Joined: 28 Aug 2006 Posts: 302 Followers: 10 Kudos [?]: 93 [0], given: 0 [#permalink] 17 Sep 2006, 18:50 Folks, all of u got this wrong........... Look at the question carefully. A had 9 loaves B had 15 loaves. C had 0 loaves. Now they divided this equally among themselves , so each of them get 8 loaves. This means A has given 1 loaf and B has 7 loaves to C. Since A paid 16$ 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............
_________________

Last edited by cicerone on 25 Sep 2008, 00:24, edited 1 time in total.
SVP
Joined: 01 May 2006
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cicerone wrote:
Folks, all of u got this wrong...........

Look at the question carefully.

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

Since A has given 1 loaf it means he contributed 2$dollars out of 16$
Obviously B must contribute remaining 14$. (or 7x2$=14$) Hence the answer must be D. Huh, this is all about GMAT man............ Yes Thanks for the explanation... I felt in the trap Director Joined: 06 Sep 2006 Posts: 745 Followers: 1 Kudos [?]: 17 [0], given: 0 [#permalink] 19 Sep 2006, 12:07 9 + 15 = 24 loaves$ for Travler with 9 Loaves: 16/24 * 9 => 6
$for Traveler with 15: 16/24 * 15 =>10 C is my choice VP Joined: 02 Jun 2006 Posts: 1267 Followers: 2 Kudos [?]: 42 [0], given: 0 [#permalink] 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. Manager Joined: 29 Aug 2006 Posts: 157 Followers: 1 Kudos [?]: 4 [0], given: 0 Re: PS Ratio Proportion [#permalink] 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
Thanks

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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