There were 6 more girls than boys in the auditorium. Excluding 12 boys, the number of boys was
45 of the number of girls. When another 8 girls joined, what fraction of the students were girls in the end? Give your answer in its simplest form.
|
Girls |
Boys |
Comparing girls and boys at first |
6 more |
|
Before |
5 u |
4 u + 12 |
Change |
+ 8 |
|
After |
5 u + 8 |
4 u + 12 |
Number of girls at first was 6 more than the number of boys. If another 6 boys entered the auditorium at first, the number of girls and boys at first would be the same.
5 u = 4 u + 12 + 6
5 u - 4 u = 12 + 6
1 u = 18
Total number of girls in the end
= 5 u + 8
= 5 x 18 + 8
= 90 + 8
= 98
Total number of students in the end
= 5 u + 8 + 4 u + 12
= 9 u + 20
= 9 x 18 + 20
= 182
Fraction of the students who were girls in the end
=
98182 =
713 Answer(s):
713