SOLUTION: in a class of 63 students the number of girls is 3/4 of the number of boys find the number of girls

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Question 471113: in a class of 63 students the number of girls is 3/4 of the number of boys find the number of girls
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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in a class of 63 students the number of girls is 3/4 of the number of boys find the number of girls
:
From this we can write two equations
g + b = 63
and
g = 3%2F4b
replace g in the first equation, use .75 for 3/4
.75b + b = 63
1.75b = 63
b = 63%2F1.75
b = 36 boys
then
g + 36 = 63
g = 63 - 36
g = 27 girls
:
:
Check: 27%2F36 = 3%2F4