At first, there were 376 more boys than girls at the theme park. By 3 p.m., a total of 220 boys and girls left the theme park. There were as many boys as girls who left the theme park. In the end, there were 3 times as many boys as girls who remained behind. How many boys were at the theme park at first?
|
Boys |
Girls |
Difference |
Before |
3 u + 110 |
1 u + 110 |
376 |
Change |
- 110 |
- 110 |
|
After |
3 u |
1 u |
2 u |
Since there was the same number of girls and boys that left, the difference between the number of girls and boys remains unchanged.
2 u = 376
1 u = 376 ÷ 2 = 188
Number of boys in the end
= 3 u
= 3 x 188
= 564
Number of boys that left
= 220 ÷ 2
= 110
Number of boys at first
= 564 + 110
= 674
Answer(s): 674