What r the steps to this problem?
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?
2007-05-01 04:24:57 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x women and y men applied. Therefore, x + y = 1340 because there were 1340 total applicants.
0.3x women were accepted and 0.25y men were accepted, so 0.3x + 0.25y = 363 because a total of 363 students were accepted.
x + y = 1340
0.3x + 0.25y = 363
Now you have a system of equations that you can solve algebraically. One way to solve is substitution.
x + y = 1340
y = -x + 1340
0.3x + 0.25y = 363
0.3x + 0.25(-x + 1340) = 363
You can simply this equation (using the distributive property and combination of like terms) and solve to find x, the number of women who applied.
2007-05-01 04:28:30 · answer #1 · answered by DavidK93 7 · 2⤊ 0⤋
Let x = # of women.
1340 - x = # of men.
Solve:
0.3x + 0.25(1340 - x) = 363
2007-05-01 11:40:20 · answer #2 · answered by S. B. 6 · 0⤊ 1⤋
STUDY!!! we are not here to do your homework
2007-05-01 11:28:11 · answer #3 · answered by nexusdhr84 2 · 0⤊ 3⤋
u'll never know until u try....
2007-05-01 12:13:27 · answer #4 · answered by johanes greIMOn 2 · 0⤊ 1⤋