At first, there were 382 more girls than boys at the bird park. By 3 p.m., a total of 226 girls and boys left the bird park. There were as many girls as boys who left the bird park. In the end, there were 3 times as many girls as boys who remained behind. How many girls were at the bird park at first?
|
Girls |
Boys |
Difference |
Before |
3 u + 113 |
1 u + 113 |
382 |
Change |
- 113 |
- 113 |
|
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 = 382
1 u = 382 ÷ 2 = 191
Number of girls in the end
= 3 u
= 3 x 191
= 573
Number of girls that left
= 226 ÷ 2
= 113
Number of girls at first
= 573 + 113
= 686
Answer(s): 686