At a gathering, the ratio of the number of men to the number of women was 16 : 11. 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 |
11 u |
Change |
- 7.2 u |
- 2.2 u |
After |
8.8 u |
8.8 u |
Number of women that left
= 20% x 11 u
=
20100 x 11 u
= 2.2 u
Number of women that remained
= 11 u - 2.2 u
= 8.8 u
Number of men that needed to leave = 16 u - 8.8 u= 7.2 u Percentage of men that must leave = 7.216 x 100% = 45% Answer(s): 45%