SOLUTION: percentage and ratio. Q : According to NCAA data, 52% of all student athletes graduate. 55% of female students and 48% of male student athletes graduate. what is the ratio of t

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: percentage and ratio. Q : According to NCAA data, 52% of all student athletes graduate. 55% of female students and 48% of male student athletes graduate. what is the ratio of t      Log On


   



Question 173060: percentage and ratio.
Q : According to NCAA data, 52% of all student athletes graduate. 55% of female students and 48% of male student athletes graduate. what is the ratio of the number of male student athletes and the number of female student athletes?

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the % of males athletes M and the % of Females athletes F. Lets call the total number who graduate G
:
total of all student graduates is 52%(M+F). so G=.52(M+F)
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G is also equal to 48% Male athletes .48M plus 55% Female athletes.55F.......so seeing these equal to each other
:
.52(M+F)=.48M+.55F
:
.52M+.52F=.48M+.55M
:
.04M=.03F
:
.04M/F=.03
:
highlight%28M%2FF=.03%2F.04=3%2F4%29meaning there are 3 male athletes for every 4 Female athletes