At first, there were 414 more girls than boys at the safari park. By 4 p.m., a total of 248 girls and boys left the safari park. There were as many girls as boys who left the safari park. In the end, there were 3 times as many girls as boys who remained behind. How many girls were at the safari park at first?
| |
Girls |
Boys |
Difference |
| Before |
3 u + 124 |
1 u + 124 |
414 |
| Change |
- 124 |
- 124 |
|
| After |
3 u |
1 u |
2 u |
Since there was the same number of boys and girls that left, the difference between the number of boys and girls remains unchanged.
2 u = 414
1 u = 414 ÷ 2 = 207
Number of girls in the end
= 3 u
= 3 x 207
= 621
Number of girls that left
= 248 ÷ 2
= 124
Number of girls at first
= 621 + 124
= 745
Answer(s): 745
