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A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(\dfrac12\) cup of

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A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(\dfrac12\) cup of

by M7MBA » Sun Jan 31, 2021 1:27 pm

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A restaurant buys fruit in cans containing \(3\frac12\) cups of fruit each. If the restaurant uses \(\dfrac12\) 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

Answer: C

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 \(\dfrac12\) cup

by deloitte247 » Wed Feb 03, 2021 12:06 am
$$There\ are\ 3\frac{1}{2}\ cups\ per\ can$$
$$restaurant\ uses\ \frac{1}{2}cup\ of\ fruit\ per\ serving$$
$$so\ if\ \frac{1}{2}cup\ =\ 1\ serving\ then,$$
$$x\ cups\ =\ 60\ serving$$
$$x=60\ \cdot\ \frac{1}{2}=30\ cups\ per\ serving$$
$$if\ \ 3\frac{1}{2}\ cups\ =\ 1\ can\ then,$$
$$30\ cups\ =\ x\ cans$$
$$x=\frac{30}{3\frac{1}{2}}=\frac{30}{\frac{7}{2}}=30\cdot\frac{2}{7}$$
$$x=\frac{60}{7}=8.6\approx9\ cans$$
$$Answer\ =\ C$$
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