At first, there were 388 more women than men at the zoo. By 4 p.m., a total of 250 women and men left the zoo. There were as many women as men who left the zoo. In the end, there were 3 times as many women as men who remained behind. How many women were at the zoo at first?
|
Women |
Men |
Difference |
Before |
3 u + 125 |
1 u + 125 |
388 |
Change |
- 125 |
- 125 |
|
After |
3 u |
1 u |
2 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
2 u = 388
1 u = 388 ÷ 2 = 194
Number of women in the end
= 3 u
= 3 x 194
= 582
Number of women that left
= 250 ÷ 2
= 125
Number of women at first
= 582 + 125
= 707
Answer(s): 707