At first, there were 394 more boys than girls at the theme park. By 1 p.m., a total of 230 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 + 115 |
1 u + 115 |
394 |
| Change |
- 115 |
- 115 |
|
| 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 = 394
1 u = 394 ÷ 2 = 197
Number of boys in the end
= 3 u
= 3 x 197
= 591
Number of boys that left
= 230 ÷ 2
= 115
Number of boys at first
= 591 + 115
= 706
Answer(s): 706
