A Restaurant Buys Fruit in cans Containing 3 1/2 Cups of Fruit Each GMAT Problem Solving

Question: A restaurant buys fruit in cans containing 3 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

Correct Answer: C
Solution and Explanation:
Approach Solution 1:

Given that fruit can contain 3 and a half cups of fruit each. Also given that the restaurant uses ½ cup of the fruit in each serving of its fruit compote. It has asked to find out the least number of cans needed to prepare 60 servings of compote.
One serving is equal to one-half cup, therefore 3.5 cups, or 7/2 cups, will yield 7 servings.
For 60 servings, we need:-
7*8= 56 servings
and the remaining four servings might be added with just one more can, making the total number of cans required 8 + 1 = 9.

C is the correct answer.

Approach Solution 2:

Given that fruit can contain 3 and a half cups of fruit each. Also given that the restaurant uses ½ cup of the fruit in each serving of its fruit compote. It has asked to find out the least number of cans needed to prepare 60 servings of compote.

One serving requires 0.5 cups
One can hold 3.5 cups
So one serving requires (0.5/3.5) cans ie. (1/7) cans

1 portion equals one-seventh of a can
60 serves -> 60* (1/7) = 8.
Therefore, the absolute minimum number of cans necessary is 9.

C is the correct answer.

Approach Solution 3:

The amount of cups utilised for each individual serving is 0.5 cups.
3.5 cups may be extracted from a single can.
The number of possible servings that can be obtained from one can is equal to 3.5 / 0.5, which is 7.
The number of cans needed to produce 60 servings is equal to 60/7, which is 8.57.
Due to the fact that the total number of cans will be a natural number, the bare minimum amount of cans required will be 9.

The solution that is right is C.

“A restaurant buys fruit in cans containing 3 1/2 cups of fruit each" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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