There were 10 more boys than girls in the computer lab. Excluding 8 girls, the number of girls was ²₃ of the number of boys. When another 4 boys joined, what fraction of the students were boys in the end? Give your answer in its simplest form.

	Boys	Girls
Comparing boys  and girls at first	10 more
Before	3 u	2 u + 8
Change	+ 4
After	3 u + 4	2 u + 8

Number of boys at first was 10 more than the number of girls. If another 10 girls entered the computer lab at first, the number of boys and girls at first would be the same.

3 u = 2 u + 8 + 10 
3 u - 2 u = 8 + 10

1 u = 18

Total number of boys in the end
= 3 u + 4
= 3 x 18 + 4
= 54 + 4
= 58

Total number of students in the end
= 3 u + 4 + 2 u + 8
= 5 u + 12
= 5 x 18 + 12
= 102

Fraction of the students who were boys in the end
= ⁵⁸₁₀₂
= ²⁹₅₁

Answer(s): ²⁹₅₁