SOLUTION: Last year a small college accepted 363 students out of the 1340 people that applied. If the college accepted 30% of the female applicants and 25% of the male applicants, how man

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Last year a small college accepted 363 students out of the 1340 people that applied. If the college accepted 30% of the female applicants and 25% of the male applicants, how man      Log On


   



Question 349037: Last year a small college accepted 363 students out
of the 1340 people that applied. If the college
accepted 30% of the female applicants and 25% of
the male applicants, how many women applied?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = number of men that applied
Let w = number of women that applied
given:
(1) m+%2B+w+=+1340
.25m+%2B+.3w+=+363
-----------------------
(2) 25m+%2B+30w+=+36300
Multiply both sides of (1) by
25 and subtract from (2)
(2) 25m+%2B+30w+=+36300
(1) -25m+-+25w+=+-33500
5w+=+2800
w+=+560
m+=+1340+-+560
m+=+780
560 applicants were women