At first, there were 396 more men than women at the bird park. By 1 p.m., a total of 226 men and women left the bird park. There were as many men as women who left the bird park. In the end, there were 5 times as many men as women who remained behind. How many men were at the bird park at first?
|
Men |
Women |
Difference |
Before |
5 u + 113 |
1 u + 113 |
396 |
Change |
- 113 |
- 113 |
|
After |
5 u |
1 u |
4 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
4 u = 396
1 u = 396 ÷ 4 = 99
Number of men in the end
= 5 u
= 5 x 99
= 495
Number of men that left
= 226 ÷ 2
= 113
Number of men at first
= 495 + 113
= 608
Answer(s): 608