At first, there were 404 more boys than girls at the tourist attraction. By 4 p.m., a total of 226 boys and girls left the tourist attraction. There were as many boys as girls who left the tourist attraction. In the end, there were 3 times as many boys as girls who remained behind. How many boys were at the tourist attraction at first?
| |
Boys |
Girls |
Difference |
| Before |
3 u + 113 |
1 u + 113 |
404 |
| Change |
- 113 |
- 113 |
|
| 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 = 404
1 u = 404 ÷ 2 = 202
Number of boys in the end
= 3 u
= 3 x 202
= 606
Number of boys that left
= 226 ÷ 2
= 113
Number of boys at first
= 606 + 113
= 719
Answer(s): 719
