At first, there were 410 more women than men at the stadium. By 1 p.m., a total of 272 women and men left the stadium. There were as many women as men who left the stadium. In the end, there were 6 times as many women as men who remained behind. How many women were at the stadium at first?
|
Women |
Men |
Difference |
Before |
6 u + 136 |
1 u + 136 |
410 |
Change |
- 136 |
- 136 |
|
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 = 410
1 u = 410 ÷ 5 = 82
Number of women in the end
= 6 u
= 6 x 82
= 492
Number of women that left
= 272 ÷ 2
= 136
Number of women at first
= 492 + 136
= 628
Answer(s): 628