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

[M7MBA]

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

[Jay@ManhattanReview]

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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[Scott@TargetTestPrep]

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