There were 8 more girls than boys in the tuck shop. Excluding 11 boys, the number of boys was
45 of the number of girls. When another 7 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 + 11 |
Change |
+ 7 |
|
After |
5 u + 7 |
4 u + 11 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the tuck shop at first, the number of girls and boys at first would be the same.
5 u = 4 u + 11 + 8
5 u - 4 u = 11 + 8
1 u = 19
Total number of girls in the end
= 5 u + 7
= 5 x 19 + 7
= 95 + 7
= 102
Total number of pupils in the end
= 5 u + 7 + 4 u + 11
= 9 u + 18
= 9 x 19 + 18
= 189
Fraction of the pupils who were girls in the end
=
102189 =
3463 Answer(s):
3463