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A restaurant buys fruit in cans containing 3 1/2 cups of fruit each.

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Manager
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A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]

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New post 10 Jun 2016, 04:44
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Question Stats:

75% (01:18) correct 25% (01:32) wrong based on 103 sessions

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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

[Reveal] Spoiler:
1 can = 3.5 cups
or, 0.5 cups = 1 serve
or, 1 can =7 serving

for 60 servings,
8 cans = \(8*7 = 56\)

9 cans = \(9*7 = 63\)
Answer: C
[Reveal] Spoiler: OA

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

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New post 10 Jun 2016, 08:31
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Answer is 9 : C.

One can serves 7 people (1/2 per person * 3.5) So it required 60/7 = 8.5XXX , and since it has to be rounded up. 9 CANs

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

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New post 10 Jun 2016, 08:44
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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New post 10 Jun 2016, 08:54
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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 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



1/2 cup makes one serving, so 3\(\frac{1}{2}\) or 7/2 cups will make 7 servings.

For 60 servings, we need:-

7*8= 56 servings

and 1 more can would add remaining 4 servings; hence 8+1 = 9 cans are needed.
_________________

I welcome critical analysis of my post!! That will help me reach 700+

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

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New post 18 Jul 2017, 14:15
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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New post 20 Sep 2017, 23:28
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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Concentration: General Management, Finance
GMAT 1: 680 Q49 V31
GPA: 3.25
WE: Analyst (Consulting)
Re: A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. [#permalink]

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New post 20 Sep 2017, 23:44
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] 20 Sep 2017, 23:44
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