There were 8 more girls than boys in the school hall. Excluding 8 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 |
8 more |
|
Before |
4 u |
3 u + 8 |
Change |
+ 6 |
|
After |
4 u + 6 |
3 u + 8 |
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.
4 u = 3 u + 8 + 8
4 u - 3 u = 8 + 8
1 u = 16
Total number of girls in the end
= 4 u + 6
= 4 x 16 + 6
= 64 + 6
= 70
Total number of pupils in the end
= 4 u + 6 + 3 u + 8
= 7 u + 14
= 7 x 16 + 14
= 126
Fraction of the pupils who were girls in the end
=
70126 =
59 Answer(s):
59