SOLUTION: 60 Percent students are female and 52 more females than male. How many students are there?

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Question 934365: 60 Percent students are female and 52 more females than male. How many students are there?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
S = # of students
F = # of females
M = # of males

"60 Percent students are female" ---> 0.6S = F ---> F = 0.6S

"52 more females than male" ---> F = M+52

Total Students: S = F+M solve for M to get M = S-F

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F = M+52

F = S-F+52 ... plug in M = S-F

F+F = S+52

2F = S+52

2(0.6S) = S+52 ... plug in F = 0.6S

1.2S = S+52

1.2S - S = 52

0.2S = 52

S = 52/0.2

S = 260

There are 260 students total.
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