There were 3 more girls than boys in the tuck shop. Excluding 6 boys, the number of boys was
34 of the number of girls. When another 9 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 |
3 more |
|
Before |
4 u |
3 u + 6 |
Change |
+ 9 |
|
After |
4 u + 9 |
3 u + 6 |
Number of girls at first was 3 more than the number of boys. If another 3 boys entered the tuck shop at first, the number of girls and boys at first would be the same.
4 u = 3 u + 6 + 3
4 u - 3 u = 6 + 3
1 u = 9
Total number of girls in the end
= 4 u + 9
= 4 x 9 + 9
= 36 + 9
= 45
Total number of pupils in the end
= 4 u + 9 + 3 u + 6
= 7 u + 15
= 7 x 9 + 15
= 78
Fraction of the pupils who were girls in the end
=
4578 =
1526 Answer(s):
1526