There were 8 more girls than boys in the school hall. Excluding 6 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 + 6 |
Change |
+ 6 |
|
After |
5 u + 6 |
4 u + 6 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the school hall at first, the number of girls and boys at first would be the same.
5 u = 4 u + 6 + 8
5 u - 4 u = 6 + 8
1 u = 14
Total number of girls in the end
= 5 u + 6
= 5 x 14 + 6
= 70 + 6
= 76
Total number of pupils in the end
= 5 u + 6 + 4 u + 6
= 9 u + 12
= 9 x 14 + 12
= 138
Fraction of the pupils who were girls in the end
=
76138 =
3869 Answer(s):
3869