At first, there were 428 more men than women at the safari park. By 3 p.m., a total of 224 men and women left the safari park. There were as many men as women who left the safari park. In the end, there were 3 times as many men as women who remained behind. How many men were at the safari park at first?
|
Men |
Women |
Difference |
Before |
3 u + 112 |
1 u + 112 |
428 |
Change |
- 112 |
- 112 |
|
After |
3 u |
1 u |
2 u |
Since there was the same number of women and men that left, the difference between the number of women and men remains unchanged.
2 u = 428
1 u = 428 ÷ 2 = 214
Number of men in the end
= 3 u
= 3 x 214
= 642
Number of men that left
= 224 ÷ 2
= 112
Number of men at first
= 642 + 112
= 754
Answer(s): 754