At first, there were 380 more women than men at the bird park. By 3 p.m., a total of 250 women and men left the bird park. There were as many women as men who left the bird park. In the end, there were 6 times as many women as men who remained behind. How many women were at the bird park at first?
|
Women |
Men |
Difference |
Before |
6 u + 125 |
1 u + 125 |
380 |
Change |
- 125 |
- 125 |
|
After |
6 u |
1 u |
5 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
5 u = 380
1 u = 380 ÷ 5 = 76
Number of women in the end
= 6 u
= 6 x 76
= 456
Number of women that left
= 250 ÷ 2
= 125
Number of women at first
= 456 + 125
= 581
Answer(s): 581