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# In a certain high school, 20 percent of the students in the sophomore

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Manager
Joined: 16 Aug 2014
Posts: 53
In a certain high school, 20 percent of the students in the sophomore  [#permalink]

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Updated on: 09 Oct 2018, 08:16
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:52) correct 23% (01:31) wrong based on 66 sessions

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In a certain high school, 20 percent of the students in the sophomore class have obtained a driver's license, and half of those students took a driver's education class. Of the sophomores without a license, 70 percent have taken a driver's education class. What percentage of the class has not taken a driver's education class?

A. 66
B. 50
C. 44
D. 36
E. 34

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Originally posted by mayursurya on 09 Oct 2018, 07:53.
Last edited by Bunuel on 09 Oct 2018, 08:16, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 508
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Re: In a certain high school, 20 percent of the students in the sophomore  [#permalink]

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09 Oct 2018, 11:10
mayursurya wrote:
In a certain high school, 20 percent of the students in the sophomore class have obtained a driver's license, and half of those students took a driver's education class. Of the sophomores without a license, 70 percent have taken a driver's education class. What percentage of the class has not taken a driver's education class?

A. 66
B. 50
C. 44
D. 36
E. 34

Let the total number of sophomore students be 100

then 20% who obtained license = 20
those who didn't obtain = 80

50% of those who obtained license took education class = 50% * 20 = 10
those who didn't take education class and obtained license = 10

70% of those who didn't obtain a license took education class 70% * 80 =56
those who didn't take education class and didn't not obtain license = 24

Total of those who didn't take education class = 10 + 24 = 34

34/100 = 34%

Refer to the grid for simpler visuals.
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Re: In a certain high school, 20 percent of the students in the sophomore   [#permalink] 09 Oct 2018, 11:10
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