There were 8 more girls than boys in the music room. Excluding 2 boys, the number of boys was
45 of the number of girls. When another 6 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 |
8 more |
|
| Before |
5 u |
4 u + 2 |
| Change |
+ 6 |
|
| After |
5 u + 6 |
4 u + 2 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the music room at first, the number of girls and boys at first would be the same.
5 u = 4 u + 2 + 8
5 u - 4 u = 2 + 8
1 u = 10
Total number of girls in the end
= 5 u + 6
= 5 x 10 + 6
= 50 + 6
= 56
Total number of pupils in the end
= 5 u + 6 + 4 u + 2
= 9 u + 8
= 9 x 10 + 8
= 98
Fraction of the pupils who were girls in the end
=
5698 =
47 Answer(s):
47 
