There were 8 more girls than boys in the auditorium. Excluding 12 boys, the number of boys was
23 of the number of girls. When another 8 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 |
3 u |
2 u + 12 |
Change |
+ 8 |
|
After |
3 u + 8 |
2 u + 12 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the auditorium at first, the number of girls and boys at first would be the same.
3 u = 2 u + 12 + 8
3 u - 2 u = 12 + 8
1 u = 20
Total number of girls in the end
= 3 u + 8
= 3 x 20 + 8
= 60 + 8
= 68
Total number of pupils in the end
= 3 u + 8 + 2 u + 12
= 5 u + 20
= 5 x 20 + 20
= 120
Fraction of the pupils who were girls in the end
=
68120 =
1730 Answer(s):
1730