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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Boys and girls in a class are writing letters. There are twice as many
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30 May 2021, 23:33
30 May 2021, 23:33
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Question Stats:
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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
A. 3
B. 4
C. 6
D. 8
E. 12
Re: Boys and girls in a class are writing letters. There are twice as many
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31 May 2021, 06:04
31 May 2021, 06:04
1
Solution:
Let the number of boys be x & the number of letters written by each boy be y
Thus, total letters written by all the boys= xy
For girls, the total number of girls will be 2x and the letters written by them will be y+3
Thus, total letters written by all the girls=2x*(y+3)=2xy+6x
xy+2xy+6x=90
3* 24+6x=90
6x=18
x=3
Thus, total number of boys=3
Therefore, total number of letters written by them= \(\frac{24}{3}\)=8
IMO D
Hope this helps!
Let the number of boys be x & the number of letters written by each boy be y
Thus, total letters written by all the boys= xy
For girls, the total number of girls will be 2x and the letters written by them will be y+3
Thus, total letters written by all the girls=2x*(y+3)=2xy+6x
xy+2xy+6x=90
3* 24+6x=90
6x=18
x=3
Thus, total number of boys=3
Therefore, total number of letters written by them= \(\frac{24}{3}\)=8
IMO D
Hope this helps!
gmatclubot
Re: Boys and girls in a class are writing letters. There are twice as many [#permalink]
31 May 2021, 06:04
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