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26 Nov 2019, 01:19
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A
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A teacher buys C cookies to divide evenly among the K students in her class for a Valentine’s Day party. If P of the students are absent, what is the maximum number of cookies she can eat if she wants to be able to feed her class at the rate originally intended?
A. \(\frac{CP}{K}\)
B. \(P\)
C. \(\frac{KP}{C}\)
D. \(\frac{CK}{P}\)
E. \(\frac{C}{K-P}\)
Are You Up For the Challenge: 700 Level Questions
A. \(\frac{CP}{K}\)
B. \(P\)
C. \(\frac{KP}{C}\)
D. \(\frac{CK}{P}\)
E. \(\frac{C}{K-P}\)
Are You Up For the Challenge: 700 Level Questions
Archit3110
Major Poster
26 Nov 2019, 02:17
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let total students = 10
cookies = 20
so each student must get 20/10 ; 2 cookies
if 2 are absent so teacher can get ; 4 cookies
substitute value of C,P, K in options correct wil give 4
IMO A; 20 * 2/ 10 ; 4
cookies = 20
so each student must get 20/10 ; 2 cookies
if 2 are absent so teacher can get ; 4 cookies
substitute value of C,P, K in options correct wil give 4
IMO A; 20 * 2/ 10 ; 4
Bunuel
18 Feb 2020, 03:11
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Bunuel
Solution:
The best way to solve this problem is to use the unitary method.
The maximum number of cookies that can eat = Number of cookies to be given to the student who are absent
- • Number of Cookies for \(K\) students = \(C\)
- o Number of cookies for one student = \(\frac{C}{K}\)
o Number of cookies for \(P\) students = \(\frac{C}{K}*P\)
