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?
A. 3
B. 4
C. 6
D. 8
E. 12
Given that B = 2G.
Also, each girl writes 3 more letters than each boy.
And, boys write 24 letters out of 90 => Girls write 66 letters.
Let us simply use the options to get the answer.
Option 1: If each boy writes 3 letters => 24/3 = 8 boys in the class => 16 girls in the class.
Since each boy writes 3 letters => Each girl writes 6 letters.
So, (8 boys * 3 letters) + (16 girls * 6 letters) = 120. This is NOT EQUAL to 90.
Option 2: If each boy writes 4 letters => 24/4 = 6 boys in the class => 12 girls in the class.
Since each boy writes 4 letters => Each girl writes 7 letters.
So, (6 boys * 4 letters) + (12 girls * 7 letters) = 108. This is NOT EQUAL to 90.
Option 3: If each boy writes 6 letters => 24/6 = 4 boys in the class => 8 girls in the class.
Since each boy writes 6 letters => Each girl writes 9 letters.
So, (4 boys * 6 letters) + (8 girls * 9 letters) = 96. This is NOT EQUAL to 90.
Option 4: If each boy writes 8 letters => 24/8 = 3 boys in the class => 6 girls in the class.
Since each boy writes 8 letters => Each girl writes 11 letters.
So, (3 boys * 8 letters) + (6 girls * 11 letters) = 90
Hence option D.
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