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# If a school cafeteria needs c cans of soup each week for each student,

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Math Expert
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If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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08 Jul 2018, 22:11
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Difficulty:

15% (low)

Question Stats:

78% (01:17) correct 22% (00:30) wrong based on 32 sessions

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If a school cafeteria needs c cans of soup each week for each student, and if there are s students in the school, for how many weeks will x cans of soup last?

A. $$csx$$

B. $$\frac{xs}{c}$$

C. $$\frac{s}{cx}$$

D. $$\frac{x}{cs}$$

E. $$\frac{cx}{s}$$

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Re: If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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09 Jul 2018, 01:02
11
No. of soup cans per student per week = c
Hence total no. of soup cans per week = cs

No. of soup cans available = x
By dividing no. of soup cans by the requirement, we can find no. of weeks.
Therefore, the answer is x/cs, i.e. option D
##### General Discussion
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Re: If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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08 Jul 2018, 22:22
1
Bunuel wrote:
If a school cafeteria needs c cans of soup each week for each student, and if there are students in the school, for how many weeks will x cans of soup last?

Hey Bunuel,
The number indicating the total students is missing. Most probably it will be s students. Can you please check once?
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Re: If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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08 Jul 2018, 22:23
EgmatQuantExpert wrote:
Bunuel wrote:
If a school cafeteria needs c cans of soup each week for each student, and if there are students in the school, for how many weeks will x cans of soup last?

Hey Bunuel,
The number indicating the total students is missing. Most probably it will be s students. Can you please check once?

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Yes. Edited. Thank you.
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If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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08 Jul 2018, 22:26
Number of cans of soup each student needs for one week is 'c'
Number of students is 's'
Number of cans of soup required for one week is 'c*s'
Number of cans of soup required for 'w' weeks is 'w*c*s'

but we have 'x' cans of soup

=> x = wcs => w = $$\frac{x}{cs}$$

Hence option D
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Re: If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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08 Jul 2018, 22:38
Bunuel wrote:
If a school cafeteria needs c cans of soup each week for each student, and if there are s students in the school, for how many weeks will x cans of soup last?

A. $$csx$$

B. $$\frac{xs}{c}$$

C. $$\frac{s}{cx}$$

D. $$\frac{x}{cs}$$

E. $$\frac{cx}{s}$$

No of weeks x cans will last= Total no of cans available/No of cans needed per week for 's' students
=$$\frac{x}{cs}$$
Ans. (D)
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Re: If a school cafeteria needs c cans of soup each week for each student, &nbs [#permalink] 08 Jul 2018, 22:38
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