At first, there were 390 more men than women at the bird park. By 1 p.m., a total of 256 men and women left the bird park. There were as many men as women who left the bird park. In the end, there were 6 times as many men as women who remained behind. How many men were at the bird park at first?
|
Men |
Women |
Difference |
Before |
6 u + 128 |
1 u + 128 |
390 |
Change |
- 128 |
- 128 |
|
After |
6 u |
1 u |
5 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
5 u = 390
1 u = 390 ÷ 5 = 78
Number of men in the end
= 6 u
= 6 x 78
= 468
Number of men that left
= 256 ÷ 2
= 128
Number of men at first
= 468 + 128
= 596
Answer(s): 596