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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]

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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
Thanks

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Retired Moderator
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17 Sep 2006, 12:51

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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SVP
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17 Sep 2006, 12:52
C as well

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Intern
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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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Senior Manager
Joined: 28 Aug 2006
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17 Sep 2006, 18:50
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............
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Last edited by cicerone on 25 Sep 2008, 00:24, edited 1 time in total.

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SVP
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18 Sep 2006, 02:45
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

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Director
Joined: 06 Sep 2006
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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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VP
Joined: 02 Jun 2006
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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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Manager
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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

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Re: PS Ratio Proportion   [#permalink] 19 Sep 2006, 12:27
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