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# In a certain senior class 72 percent of the male students

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Director
Joined: 17 Sep 2005
Posts: 901

Kudos [?]: 118 [0], given: 0

In a certain senior class 72 percent of the male students [#permalink]

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24 Sep 2007, 14:02
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In a certain senior class 72 percent of the male students and 80 percent of female students have applied to college. What fraction of students in the class are male ?

1. There are 840 students in the senior class.
2. 75 percent of the students in the senior class have applied to college.

- Brajesh

Kudos [?]: 118 [0], given: 0

VP
Joined: 08 Jun 2005
Posts: 1143

Kudos [?]: 254 [0], given: 0

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24 Sep 2007, 14:14
0.72x+0.28x+0.8y+0.2y = n

x/n = ?

statement 1

0.72x+0.28x+0.8y+0.2y = 840

insufficient

statement 2

0.72x+0.8y = 0.75n

so

0.28x+0.2y = 0.25n

solve:

1.12x+0.8y = n
0.72x+0.8y = 0.75n

0.4x = 0.25n

1.6x = n

1.12x+0.8y = 1.6x

x/n = x/1.6x = 5/8

Kudos [?]: 254 [0], given: 0

Director
Joined: 11 Jun 2007
Posts: 909

Kudos [?]: 291 [0], given: 0

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24 Sep 2007, 14:33
KillerSquirrel wrote:
0.72x+0.28x+0.8y+0.2y = n

x/n = ?

statement 1

0.72x+0.28x+0.8y+0.2y = 840

insufficient

statement 2

0.72x+0.8y = 0.75n

so

0.28x+0.2y = 0.25n

solve:

1.12x+0.8y = n
0.72x+0.8y = 0.75n

0.4x = 0.25n

1.6x = n

1.12x+0.8y = 1.6x

x/n = x/1.6x = 5/8

nice work. we are only asked for a fraction so B is sufficient

Kudos [?]: 291 [0], given: 0

24 Sep 2007, 14:33
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