SOLUTION: Suppose a certain religious university has a ratio of approximately 80 males to 120 females enrolled as students. If the current enrollment at the university is 17,000 and every m

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Suppose a certain religious university has a ratio of approximately 80 males to 120 females enrolled as students. If the current enrollment at the university is 17,000 and every m      Log On


   



Question 1031826: Suppose a certain religious university has a ratio of approximately 80 males to 120 females enrolled as students. If the current enrollment at the university is 17,000 and every male on campus asks a female student to a dance, how many women will be without dates to the dance?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.M%2BF=17000
.
.
.
M%2FF=80%2F120=2%2F3
2.3M=2F
.
.
.
From 1,
2M%2B2F=34000
Substituting from 2,
2M%2B3M=34000
5M=34000
M=6800
So if each male asks a female the total going to the dance is,
6800%2B6800=14600
Leaving,
17000-13600=3400
3400 females without a dance date.