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

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Intern
Joined: 22 Sep 2007
Posts: 32

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

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22 Sep 2007, 10:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

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Director
Joined: 11 Jun 2007
Posts: 910

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22 Sep 2007, 10:31
inwosu wrote:
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

not sure if it's correct but I get C) 11.. I'll try my best to explain

first we know that boys have the bigger ratio of 1/3 compared to girls with 1/4

so we want to max out the number of boys compared to girls
since there are 36 students, the optimal case where we can evenly divide by 3 and 4 (so 12) since must have a whole person: 24 boys and 12 girls
boys: 1/3 of 24 = 8
girls: 1/4 of 12 = 3

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VP
Joined: 09 Jul 2007
Posts: 1098

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Location: London

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22 Sep 2007, 17:16
inwosu wrote:
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

we have to have as many boys as possible, since greater proportion of boys walk. the greatest that yields it is 24 boys and 12 girls.

other combinations doesnt give more than 11

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Re: Silly question   [#permalink] 22 Sep 2007, 17:16
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