At first, there were 402 more men than women at the bird park. By 2 p.m., a total of 220 men and women left the bird park. There were as many men as women who left the bird park. In the end, there were 4 times as many men as women who remained behind. How many men were at the bird park at first?
|
Men |
Women |
Difference |
Before |
4 u + 110 |
1 u + 110 |
402 |
Change |
- 110 |
- 110 |
|
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 = 402
1 u = 402 ÷ 3 = 134
Number of men in the end
= 4 u
= 4 x 134
= 536
Number of men that left
= 220 ÷ 2
= 110
Number of men at first
= 536 + 110
= 646
Answer(s): 646