At first, there were 402 more girls than boys at the theme park. By 2 p.m., a total of 262 girls and boys left the theme park. There were as many girls as boys who left the theme park. In the end, there were 4 times as many girls as boys who remained behind. How many girls were at the theme park at first?
|
Girls |
Boys |
Difference |
Before |
4 u + 131 |
1 u + 131 |
402 |
Change |
- 131 |
- 131 |
|
After |
4 u |
1 u |
3 u |
Since there was the same number of boys and girls that left, the difference between the number of boys and girls remains unchanged.
3 u = 402
1 u = 402 ÷ 3 = 134
Number of girls in the end
= 4 u
= 4 x 134
= 536
Number of girls that left
= 262 ÷ 2
= 131
Number of girls at first
= 536 + 131
= 667
Answer(s): 667