There were 4 more girls than boys in the music room. Excluding 4 boys, the number of boys was
23 of the number of girls. When another 8 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 |
4 more |
|
Before |
3 u |
2 u + 4 |
Change |
+ 8 |
|
After |
3 u + 8 |
2 u + 4 |
Number of girls at first was 4 more than the number of boys. If another 4 boys entered the music room at first, the number of girls and boys at first would be the same.
3 u = 2 u + 4 + 4
3 u - 2 u = 4 + 4
1 u = 8
Total number of girls in the end
= 3 u + 8
= 3 x 8 + 8
= 24 + 8
= 32
Total number of pupils in the end
= 3 u + 8 + 2 u + 4
= 5 u + 12
= 5 x 8 + 12
= 52
Fraction of the pupils who were girls in the end
=
3252 =
813 Answer(s):
813