At first, there were 436 more girls than boys at the stadium. By 1 p.m., a total of 268 girls and boys left the stadium. There were as many girls as boys who left the stadium. In the end, there were 3 times as many girls as boys who remained behind. How many girls were at the stadium at first?
| |
Girls |
Boys |
Difference |
| Before |
3 u + 134 |
1 u + 134 |
436 |
| Change |
- 134 |
- 134 |
|
| 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 = 436
1 u = 436 ÷ 2 = 218
Number of girls in the end
= 3 u
= 3 x 218
= 654
Number of girls that left
= 268 ÷ 2
= 134
Number of girls at first
= 654 + 134
= 788
Answer(s): 788
