At first, there were 420 more women than men at the stadium. By 4 p.m., a total of 280 women and men left the stadium. There were as many women as men who left the stadium. In the end, there were 3 times as many women as men who remained behind. How many women were at the stadium at first?
|
Women |
Men |
Difference |
Before |
3 u + 140 |
1 u + 140 |
420 |
Change |
- 140 |
- 140 |
|
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 = 420
1 u = 420 ÷ 2 = 210
Number of women in the end
= 3 u
= 3 x 210
= 630
Number of women that left
= 280 ÷ 2
= 140
Number of women at first
= 630 + 140
= 770
Answer(s): 770