At first, there were 447 more men than women at the park. By 1 p.m., a total of 280 men and women left the park. There were as many men as women who left the park. In the end, there were 4 times as many men as women who remained behind. How many men were at the park at first?
|
Men |
Women |
Difference |
Before |
4 u + 140 |
1 u + 140 |
447 |
Change |
- 140 |
- 140 |
|
After |
4 u |
1 u |
3 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
3 u = 447
1 u = 447 ÷ 3 = 149
Number of men in the end
= 4 u
= 4 x 149
= 596
Number of men that left
= 280 ÷ 2
= 140
Number of men at first
= 596 + 140
= 736
Answer(s): 736