At a function, the ratio of the number of men to the number of women was 16 : 9. If 20% 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 |
16 u |
9 u |
Change |
- 8.8 u |
- 1.8 u |
After |
7.2 u |
7.2 u |
Number of women that left
= 20% x 9 u
=
20100 x 9 u
= 1.8 u
Number of women that remained
= 9 u - 1.8 u
= 7.2 u
Number of men that needed to leave = 16 u - 7.2 u= 8.8 u Percentage of men that must leave = 8.816 x 100% = 55% Answer(s): 55%