At a gathering, the ratio of the number of men to the number of women was 13 : 3. If 35% 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 |
13 u |
3 u |
Change |
- 11.05 u |
- 1.05 u |
After |
1.95 u |
1.95 u |
Number of women that left
= 35% x 3 u
=
35100 x 3 u
= 1.05 u
Number of women that remained
= 3 u - 1.05 u
= 1.95 u
Number of men that needed to leave = 13 u - 1.95 u= 11.05 u Percentage of men that must leave = 11.0513 x 100% = 85% Answer(s): 85%