At first, there were 415 more men than women at the zoo. By 4 p.m., a total of 242 men and women left the zoo. There were as many men as women who left the zoo. In the end, there were 6 times as many men as women who remained behind. How many men were at the zoo at first?
|
Men |
Women |
Difference |
Before |
6 u + 121 |
1 u + 121 |
415 |
Change |
- 121 |
- 121 |
|
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 = 415
1 u = 415 ÷ 5 = 83
Number of men in the end
= 6 u
= 6 x 83
= 498
Number of men that left
= 242 ÷ 2
= 121
Number of men at first
= 498 + 121
= 619
Answer(s): 619