At first, there were 428 more men than women at the park. By 2 p.m., a total of 240 men and women left the park. There were as many men as women who left the park. In the end, there were 5 times as many men as women who remained behind. How many men were at the park at first?
| |
Men |
Women |
Difference |
| Before |
5 u + 120 |
1 u + 120 |
428 |
| Change |
- 120 |
- 120 |
|
| 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 = 428
1 u = 428 ÷ 4 = 107
Number of men in the end
= 5 u
= 5 x 107
= 535
Number of men that left
= 240 ÷ 2
= 120
Number of men at first
= 535 + 120
= 655
Answer(s): 655
