There were 3 more girls than boys in the computer lab. Excluding 8 boys, the number of boys was ⁴₅ of the number of girls. When another 11 girls joined, what fraction of the pupils were girls in the end? Give your answer in its simplest form.

	Girls	Boys
Comparing girls  and boys at first	3 more
Before	5 u	4 u + 8
Change	+ 11
After	5 u + 11	4 u + 8

Number of girls at first was 3 more than the number of boys. If another 3 boys entered the computer lab at first, the number of girls and boys at first would be the same.

5 u = 4 u + 8 + 3 
5 u - 4 u = 8 + 3

1 u = 11

Total number of girls in the end
= 5 u + 11
= 5 x 11 + 11
= 55 + 11
= 66

Total number of pupils in the end
= 5 u + 11 + 4 u + 8
= 9 u + 19
= 9 x 11 + 19
= 118

Fraction of the pupils who were girls in the end
= ⁶⁶₁₁₈
= ³³₅₉

Answer(s): ³³₅₉