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Boys and girls in a class are writing letters.

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Boys and girls in a class are writing letters. [#permalink] New post 20 Sep 2013, 15:49
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Boys and girls in a class are writing letters. There are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy. If boys write 24 of the 90 total letters written by the class, how many letters does each boy write?

A. 3
B. 4
C. 6
D. 8
E. 12

[Reveal] Spoiler:
D

Last edited by jlgdr on 22 Jan 2014, 06:53, edited 5 times in total.
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Re: Boys and girls in a class are writing letters. [#permalink] New post 20 Sep 2013, 16:03
Expert's post
jlgdr wrote:
Boys and girls in a class are writing letters. There are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy. If boys write 24 of the 90 total letters written by the class, how many letters does each boy write?


There are twice as many girls as boys in the class --> g = 2b.

Each girl writes 3 more letters than each boy --> boys write x letters, girls write x+3 letters.

Boys write 24 letters --> bx = 24.

Girls write 90-24=66 letters --> (2b)(x+3) = 66 --> 2bx + 6b = 66 --> 2*24 + 6b = 66 --> b = 3.

bx = 24 --> 3x = 24 --> x = 8.
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Re: Boys and girls in a class are writing letters. [#permalink] New post 23 Sep 2013, 09:02
Hi Jlgdr,

Please post options and OA with your questions

Thanks
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Re: Boys and girls in a class are writing letters. [#permalink] New post 23 Sep 2013, 11:13
GMAT40 wrote:
Hi Jlgdr,

Please post options and OA with your questions

Thanks


Hey sorry I took this from MGMAT, no options given.
Will attach the OA soon with more replies

Cheers
SVP
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User avatar
Joined: 06 Sep 2013
Posts: 1666
Location: United States
Concentration: Finance
GMAT 1: 710 Q48 V39
WE: Corporate Finance (Investment Banking)
Followers: 12

Kudos [?]: 164 [0], given: 274

GMAT ToolKit User
Re: Boys and girls in a class are writing letters. [#permalink] New post 25 Sep 2013, 15:59
jlgdr wrote:
GMAT40 wrote:
Hi Jlgdr,

Please post options and OA with your questions

Thanks


Hey sorry I took this from MGMAT, no options given.
Will attach the OA soon with more replies

Cheers


OA posted buddy
Cheers
Re: Boys and girls in a class are writing letters.   [#permalink] 25 Sep 2013, 15:59
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