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75% of all the boys and 48% of all the girls at Smith High S

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

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75% of all the boys and 48% of all the girls at Smith High S [#permalink] New post 14 Jul 2018, 05:07
Expert's post
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Question Stats:

100% (00:34) correct 0% (00:00) wrong based on 2 sessions
75% of all the boys and 48% of all the girls at Smith High School take civics. If there are 20% fewer boys than there are girls in the school, what percent of all the students take civics?

[Reveal] Spoiler: OA
60%

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: 75% of all the boys and 48% of all the girls at Smith High S [#permalink] New post 14 Jul 2018, 05:26
Expert's post
Explanation

Use smart numbers. There are 20% fewer boys than girls, so choose 100 for the number of girls (100 is a good number to pick for percent problems). Thus, there are (100)(0.8) = 80 boys in the school.

If 75% of all the boys take civics, then 0.75(80) = 60 boys take civics. If 48% of all the girls take civics, then 0.48(100) = 48 girls take civics.

Therefore, 60 + 48 = 108 students take civics and there are 180 total students:

\(\frac{108}{180} \times 100\%=60\%\)
_________________

Sandy
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Re: 75% of all the boys and 48% of all the girls at Smith High S   [#permalink] 14 Jul 2018, 05:26
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75% of all the boys and 48% of all the girls at Smith High S

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