At a party, the ratio of the number of men to the number of women was 20 : 9. If 40% 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 |
20 u |
9 u |
Change |
- 14.6 u |
- 3.6 u |
After |
5.4 u |
5.4 u |
Number of women that left
= 40% x 9 u
=
40100 x 9 u
= 3.6 u
Number of women that remained
= 9 u - 3.6 u
= 5.4 u
Number of men that needed to leave = 20 u - 5.4 u= 14.6 u Percentage of men that must leave = 14.620 x 100% = 73% Answer(s): 73%