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Of the students at a certain high school

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Of the students at a certain high school [#permalink]  02 Dec 2012, 06:53
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Of the students at a certain high school, 90 percent took a course in algebra or geometry and 15 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?

A. 35%
B. 50%
C. 55%
D. 60%
E. 70%

OA is not provided.

Last edited by ritumaheshwari02 on 02 Dec 2012, 09:08, edited 1 time in total.
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Re: Of the students at a certain high school [#permalink]  02 Dec 2012, 08:16
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Quote:
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 15 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?

A. 35%
B. 50%
C. 55%
D. 60%
E. 70%

Let the total number of students be 100
A OR G = 90
A AND G = 15
A = 2G
(A OR G) = A + G - (A AND G)
90 = 2G + G - 15
=> 3G = 105
=> G = 35
=> A = 2G = 70

A AND NOTG = A - (A AND G) = 70 - 15 = 55
Hope it helps!
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Re: Of the students at a certain high school   [#permalink] 02 Dec 2012, 08:16
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