At first, there were 376 more boys than girls at the stadium. By 4 p.m., a total of 256 boys and girls left the stadium. There were as many boys as girls who left the stadium. In the end, there were 5 times as many boys as girls who remained behind. How many boys were at the stadium at first?
| |
Boys |
Girls |
Difference |
| Before |
5 u + 128 |
1 u + 128 |
376 |
| Change |
- 128 |
- 128 |
|
| After |
5 u |
1 u |
4 u |
Since there was the same number of girls and boys that left, the difference between the number of girls and boys remains unchanged.
4 u = 376
1 u = 376 ÷ 4 = 94
Number of boys in the end
= 5 u
= 5 x 94
= 470
Number of boys that left
= 256 ÷ 2
= 128
Number of boys at first
= 470 + 128
= 598
Answer(s): 598
