At a conference, the ratio of the number of men to the number of women was 19 : 9. If 24% of the women left, what percentage of the men must leave so that there will be an equal number of men and women remaining?
|
Men |
Women |
Before |
19 u |
9 u |
Change |
- 12.16 u |
- 2.16 u |
After |
6.84 u |
6.84 u |
Number of women that left
= 24% x 9 u
=
24100 x 9 u
= 2.16 u
Number of women that remained
= 9 u - 2.16 u
= 6.84 u
Number of men that needed to leave = 19 u - 6.84 u= 12.16 u Percentage of men that must leave = 12.1619 x 100% = 64% Answer(s): 64%