There were 4 more girls than boys in the school hall. Excluding 10 boys, the number of boys was
34 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 |
4 more |
|
Before |
4 u |
3 u + 10 |
Change |
+ 6 |
|
After |
4 u + 6 |
3 u + 10 |
Number of girls at first was 4 more than the number of boys. If another 4 boys entered the school hall at first, the number of girls and boys at first would be the same.
4 u = 3 u + 10 + 4
4 u - 3 u = 10 + 4
1 u = 14
Total number of girls in the end
= 4 u + 6
= 4 x 14 + 6
= 56 + 6
= 62
Total number of pupils in the end
= 4 u + 6 + 3 u + 10
= 7 u + 16
= 7 x 14 + 16
= 114
Fraction of the pupils who were girls in the end
=
62114 =
3157 Answer(s):
3157