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A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of the

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by M7MBA » Wed Jun 24, 2020 7:03 am

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A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare \(60\) servings of the compote?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 12

[spoiler]OA=C[/spoiler]

Source: GMAT Paper Tests
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Re: A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of th

by Jay@ManhattanReview » Thu Jun 25, 2020 3:59 am
M7MBA wrote: ↑
Wed Jun 24, 2020 7:03 am
 A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare \(60\) servings of the compote?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 12

[spoiler]OA=C[/spoiler]

Source: GMAT Paper Tests
Given that a can contains \(3\frac12\) cups of fruit, using one can, the restaurant can make \(3\frac12 / \frac12=7 \) servings.

So for 60 servings, the least no. of cans needed = \(\frac{60}{7} + 1 = 9\)

Correct answer: C

Hope this helps!

-Jay
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Re: A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of th

by Scott@TargetTestPrep » Mon Jun 29, 2020 8:38 am
M7MBA wrote: ↑
Wed Jun 24, 2020 7:03 am
 A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(1/2\) cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare \(60\) servings of the compote?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 12

[spoiler]OA=C[/spoiler]

Source: GMAT Paper Tests
Solution:

We see that each can of fruit makes 3.5/0.5 = 35/5 = 7 servings. Since 60/7 = 8 4/7 and we can’t buy a fraction of a can, we need 9 cans to make 60 servings.

Answer: C

Scott Woodbury-Stewart
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[email protected]

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