SOLUTION: At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the audience?

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Question 1050602: At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the audience?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = number of males
Let +f+ = number of females
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(1) +f%2F%28+m+%2B+f+%29+=+.4+
(2) +m+=+f+%2B+100+
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(1) +f%2F%28+f+%2B+100+%2B+f+%29+=+.4+
(1) +f+=+.4%2A%28+2f+%2B+100+%29+
(1) +f+=+.8f+%2B+40+
(1) +.2f+=+40+
(1) +f+=+200+
and
(2) +m+=+f+%2B+100+
(2) +m+=+300+
+m+%2B+f+=+300+%2B+200+
+m+%2B+f+=+500+
There are 500 in the audience
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check:
(1) +f%2F%28+m+%2B+f+%29+=+.4+
(1) +200%2F%28+300+%2B+200+%29+=+.4+
(1) +200%2F500+=+.4+
(1) +2%2F5+=+4%2F10+
(1) +2%2F5+=+2%2F5+
OK