At first, there were 430 more women than men at the tourist attraction. By 4 p.m., a total of 258 women and men left the tourist attraction. There were as many women as men who left the tourist attraction. In the end, there were 6 times as many women as men who remained behind. How many women were at the tourist attraction at first?
| |
Women |
Men |
Difference |
| Before |
6 u + 129 |
1 u + 129 |
430 |
| Change |
- 129 |
- 129 |
|
| 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 = 430
1 u = 430 ÷ 5 = 86
Number of women in the end
= 6 u
= 6 x 86
= 516
Number of women that left
= 258 ÷ 2
= 129
Number of women at first
= 516 + 129
= 645
Answer(s): 645
