At a gathering, the ratio of the number of men to the number of women was 20 : 17. 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 |
20 u |
17 u |
Change |
- 6.4 u |
- 3.4 u |
After |
13.6 u |
13.6 u |
Number of women that left
= 20% x 17 u
=
20100 x 17 u
= 3.4 u
Number of women that remained
= 17 u - 3.4 u
= 13.6 u
Number of men that needed to leave = 20 u - 13.6 u= 6.4 u Percentage of men that must leave = 6.420 x 100% = 32% Answer(s): 32%