Carcass wrote:
A restaurant buys fruit in cans containing \(3\frac{1}{2}\) 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
Let's first determine how many servings of compote we can make with 1 can of fruit.
To do so, we must determine how many times \(\frac{1}{2}\) divides into \(3\frac{1}{2}\)
\(3\frac{1}{2} ÷ \frac{1}{2} = \frac{7}{2} ÷ \frac{1}{2} = \frac{7}{2} \times \frac{2}{1} =7\)
So, each can of fruit can make 7 servings of compote.
60/7 = 8.something, which means we'll need 9 cans of fruit to prepare 60 servings of the compote
Answer: C