At first, there were 420 more women than men at the park. By 4 p.m., a total of 280 women and men left the park. There were as many women as men who left the park. In the end, there were 5 times as many women as men who remained behind. How many women were at the park at first?
| |
Women |
Men |
Difference |
| Before |
5 u + 140 |
1 u + 140 |
420 |
| Change |
- 140 |
- 140 |
|
| After |
5 u |
1 u |
4 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
4 u = 420
1 u = 420 ÷ 4 = 105
Number of women in the end
= 5 u
= 5 x 105
= 525
Number of women that left
= 280 ÷ 2
= 140
Number of women at first
= 525 + 140
= 665
Answer(s): 665
