There were 6 more girls than boys in the music room. Excluding 4 boys, the number of boys was
45 of the number of girls. When another 5 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 |
6 more |
|
Before |
5 u |
4 u + 4 |
Change |
+ 5 |
|
After |
5 u + 5 |
4 u + 4 |
Number of girls at first was 6 more than the number of boys. If another 6 boys entered the music room at first, the number of girls and boys at first would be the same.
5 u = 4 u + 4 + 6
5 u - 4 u = 4 + 6
1 u = 10
Total number of girls in the end
= 5 u + 5
= 5 x 10 + 5
= 50 + 5
= 55
Total number of pupils in the end
= 5 u + 5 + 4 u + 4
= 9 u + 9
= 9 x 10 + 9
= 99
Fraction of the pupils who were girls in the end
=
5599 =
59 Answer(s):
59