SOLUTION: At East Carolina University the ratio of males to females is 5:4. If there are 45,000 total students, how many of them are males?

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Question 1023899: At East Carolina University the ratio of males to females is 5:4. If there are 45,000 total students, how many of them are males?
Answer by ikleyn(52780) About Me  (Show Source):
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At East Carolina University the ratio of males to females is 5:4. If there are 45,000 total students, how many of them are males?
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Your system of equations is 

m%2Ff = 5%2F4,             (1)

m + f = 45000.       (2)

From (1), m = %285%2F4%29%2Af.

Substitute it into (2). You will get

%285%2F4%29%2Af+%2B+f = 45000,   or

%289%2F4%29%2Af = 45000.

Hence, f = %2845000%2A4%29%2F9 = 5000*4 = 20000 femails.

Then m = 25000 males.