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Three travellers are sitting around a fire, and are about to eat a mea

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Bunuel
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Three travellers are sitting around a fire, and are about to eat a mea [#permalink] New post   29 Aug 2022, 09:13
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Three travellers are sitting around a fire, and are about to eat a meal. One of them has 9 small loaves of bread, the second has 15 small loaves of bread and the third has no food. Nevertheless, they agree to share the loaves equally among them. If after the meal, the third person leaves $16 for his share of food, how much of this amount should the second person get ?

A. $2
B. $8
C. $10
D. $12
E. $14


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Re: Three travellers are sitting around a fire, and are about to eat a mea [#permalink] New post   29 Aug 2022, 10:43
The answer should be E. Per loaf cost = $2, B has 15, consumes 8, and hence B should get, (15-8)x$2 = $14.

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Re: Three travellers are sitting around a fire, and are about to eat a mea [#permalink] New post   29 Aug 2022, 11:12
Bunuel wrote:
Three travellers are sitting around a fire, and are about to eat a meal. One of them has 9 small loaves of bread, the second has 15 small loaves of bread and the third has no food. Nevertheless, they agree to share the loaves equally among them. If after the meal, the third person leaves $16 for his share of food, how much of this amount should the second person get ?

A. $2
B. $8
C. $10
D. $12
E. $14

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First person = 9
Second person = 15
Total loaves of bread = 24

Food consumed equally between the three travelers => Each traveler consumed 8 loaves of bread
Third person had no food so he/she consumed whatever was bought by First and Second person and he/she pays $16 for his share of 8 loaves consumed

So, cost per loaf of bread = 16/8 = $2

Now, the third person has to distribute the $16 dollars between the First and Second person based on their respective contributions

Second person bought 15 loaves of bread = 15*2 = $30
But he/she also consumed 8 loaves of bread = 8*2 = $16
So, total that third person owes to second person = 30-16 = $14

Answer - E
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Re: Three travellers are sitting around a fire, and are about to eat a mea [#permalink] New post   20 Feb 2023, 10:15
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Bunuel wrote:
Three travellers are sitting around a fire, and are about to eat a meal. One of them has 9 small loaves of bread, the second has 15 small loaves of bread and the third has no food. Nevertheless, they agree to share the loaves equally among them. If after the meal, the third person leaves $16 for his share of food, how much of this amount should the second person get ?

A. $2
B. $8
C. $10
D. $12
E. $14


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Official Solution:


Three travelers are sitting around a fire, and are about to eat a meal. One of them has 9 small loaves of bread, the second has 15 small loaves of bread and the third has no food. Nevertheless, they agree to share the loaves equally among them. If after the meal, the third person leaves $16 for his share of food, how much of this amount should the second person get ?


A. \($2\)
B. \($8\)
C. \($10\)
D. \($12\)
E. \($14\)


The total number of loaves of bread that they have is \(9 + 15 = 24\). Since they agreed to share the loaves equally, each person received \(\frac{24}{3} = 8\) loaves of bread. So, the third person paid \($16\) for 8 loaves of bread he got, or \($2\) per loaf. The second person contributed \(15 - 8 = 7\) loaves of bread to the third person, so the second person should get \(7*$2 = $14\).


Answer: E
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Re: Three travellers are sitting around a fire, and are about to eat a mea [#permalink]
20 Feb 2023, 10:15
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