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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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7/2 cups = 1 can

1/2 cup of each serving. so 7 serving per 1 can.
Least number is 7*9=63 =60 approx

Answer -9
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
When the answer is ~8.5 after all the math is done and when the question asks for the "least" # of cans why should I round it to the "higher" number (9)? Makes no sense to me! I sincerely hope this isn't a GMAT type of question. And yes, I picked B and hence the whining :)


Edit: Oh well, in retrospect, I see what is happening. Since we are needing ~8.5 cans of food to serve 60, the half-can technically means "one full can". Which means 9 cans in total. Gee I hope I don't get such questions on the real deal.
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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it's a great math if u understand it properly.......

7/2 cups = 1 can
1/2 cup of each serving. so 7 serving per 1 can.
Least number is 7*9=63 =60 approx

Answer =9

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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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One serving requires 0.5 cups
One can contains 3.5 cups
So one serving requires (0.5/3.5) cans ie. (1/7) cans

1 serving -> (1/7) cans
60 servings -> 60* (1/7)
= 8.5
So minimum no of cans required is 9

Answer C

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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
can someone pls explain this :
how does 7/2 cups will make 7 servings?
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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Number of cups used in each serving = 0.5 cups

Number of cups in 1 can = 3.5

Number of servings that can be made from 1 can = \(\frac{3.5}{0.5}\) = 7

Number of cans required to make 60 servings = \(\frac{60}{7}\)= 8.57

Since the number of cans will be a natural number, the least number of cans needed will be 9.

The correct answer is C
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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bimalr9 wrote:
A restaurant buys fruit in cans containing \(3\frac{1}{2}\) cups of fruit each. If the restaurant uses \(\frac{1}{2}\) 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
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
BrentGMATPrepNow wrote:
bimalr9 wrote:
A restaurant buys fruit in cans containing \(3\frac{1}{2}\) cups of fruit each. If the restaurant uses \(\frac{1}{2}\) 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


Hi BrentGMATPrepNow, is below calculation correct?

As its \frac{1}{2}[/m] cup of the fruit in each serving so we will need 30 cups for 60 servings.
Each can containing \(3\frac{1}{2}\) cups of fruit each, so least number of cans required >> 30/7/2 = 60/7 = 8.5
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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Kimberly77 wrote:
BrentGMATPrepNow wrote:
bimalr9 wrote:
A restaurant buys fruit in cans containing \(3\frac{1}{2}\) cups of fruit each. If the restaurant uses \(\frac{1}{2}\) 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


Hi BrentGMATPrepNow, is below calculation correct?

As its \frac{1}{2}[/m] cup of the fruit in each serving so we will need 30 cups for 60 servings.
Each can containing \(3\frac{1}{2}\) cups of fruit each, so least number of cans required >> 30/7/2 = 60/7 = 8.5


Your calculations are correct.
Please note that since we can't buy half a can of fruit, we must buy 9 cans and total
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
Noted. Thanks Brent BrentGMATPrepNow for confirmation :please: :thumbsup:
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
1 can = 3.5 cup fruits
1/2 cup = 1 compote
Total number of cup for 60 compote (30 cup)

Cans needed = 30/3.5 = 8.57 ~ 9

C is the answer
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Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]
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