Question 1101072: In a class of 96 student the number of girls is three - fifth of the number of boys. find the number of boys and girls in the class Answer by ikleyn(52781) (Show Source):
Let B = # of boys; G = # of girls.
From the condition, we have these two equations
B + G = 96, (1)
G = (2)
Substitute (2) into eq(1), replacing G. You will get
B + = 96.
Multiply both sides by 5. You will get
5B + 3B = 5*96 ====> 8B = 5*96 ====> B = = 5*12 = 60.
Answer. There are 60 boys and 96-60 = 36 girls in the class.
