At first, there were 423 more women than men at the tourist attraction. By 1 p.m., a total of 268 women and men left the tourist attraction. There were as many women as men who left the tourist attraction. In the end, there were 4 times as many women as men who remained behind. How many women were at the tourist attraction at first?
|
Women |
Men |
Difference |
Before |
4 u + 134 |
1 u + 134 |
423 |
Change |
- 134 |
- 134 |
|
After |
4 u |
1 u |
3 u |
Since there was the same number of men and women that left, the difference between the number of men and women remains unchanged.
3 u = 423
1 u = 423 ÷ 3 = 141
Number of women in the end
= 4 u
= 4 x 141
= 564
Number of women that left
= 268 ÷ 2
= 134
Number of women at first
= 564 + 134
= 698
Answer(s): 698