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# In a certain class consisting of 36 students, some boys and

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Senior Manager
Joined: 16 Jul 2005
Posts: 400

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Location: Las Vegas
In a certain class consisting of 36 students, some boys and [#permalink]

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20 Nov 2005, 00:44
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In a certain class consisting of 36 students, some boys and some girls, exactly 1/3 of the boys and exactly 1/4 of the girls walk to school. What is the greatest possible number of students in this class who walk to school?

a. 9
b. 10
c. 11
d. 12
e. 13

The explanation in the book is not too clear, I would greatly appreciate it if someone can explain how to work this problem out.

Kudos [?]: 16 [0], given: 0

VP
Joined: 22 Aug 2005
Posts: 1112

Kudos [?]: 120 [0], given: 0

Location: CA

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20 Nov 2005, 02:04
C. 11

let x be total number of boys, so 36-x gals.
we need to maximize:

x/3 + (36-x)/4 or x/12 + 9

to maximize, x should be maximum.

x should also be divisible by 12
as question says there are "some" gals, we cannot take x=36

so, x = 24
max students walking = 24/12 + 9 = 11
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Kudos [?]: 120 [0], given: 0

20 Nov 2005, 02:04
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