At first, there were 408 more men than women at the theme park. By 2 p.m., a total of 224 men and women left the theme park. There were as many men as women who left the theme park. In the end, there were 3 times as many men as women who remained behind. How many men were at the theme park at first?
| |
Men |
Women |
Difference |
| Before |
3 u + 112 |
1 u + 112 |
408 |
| Change |
- 112 |
- 112 |
|
| After |
3 u |
1 u |
2 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
2 u = 408
1 u = 408 ÷ 2 = 204
Number of men in the end
= 3 u
= 3 x 204
= 612
Number of men that left
= 224 ÷ 2
= 112
Number of men at first
= 612 + 112
= 724
Answer(s): 724
