At a celebration, the ratio of the number of men to the number of women was 11 : 9. If 23% 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 |
11 u |
9 u |
Change |
- 4.07 u |
- 2.07 u |
After |
6.93 u |
6.93 u |
Number of women that left
= 23% x 9 u
=
23100 x 9 u
= 2.07 u
Number of women that remained
= 9 u - 2.07 u
= 6.93 u
Number of men that needed to leave = 11 u - 6.93 u= 4.07 u Percentage of men that must leave = 4.0711 x 100% = 37% Answer(s): 37%