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

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

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New post 08 Jul 2018, 23:11
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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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New post 09 Jul 2018, 02:02
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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
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Re: If a school cafeteria needs c cans of soup each week for each student,  [#permalink]

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New post 08 Jul 2018, 23:22
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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New post 08 Jul 2018, 23:23
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 08 Jul 2018, 23:26
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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New post 08 Jul 2018, 23:38
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, 23:38
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