There were 8 more girls than boys in the music room. Excluding 9 boys, the number of boys was
34 of the number of girls. When another 7 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 |
8 more |
|
Before |
4 u |
3 u + 9 |
Change |
+ 7 |
|
After |
4 u + 7 |
3 u + 9 |
Number of girls at first was 8 more than the number of boys. If another 8 boys entered the music room at first, the number of girls and boys at first would be the same.
4 u = 3 u + 9 + 8
4 u - 3 u = 9 + 8
1 u = 17
Total number of girls in the end
= 4 u + 7
= 4 x 17 + 7
= 68 + 7
= 75
Total number of students in the end
= 4 u + 7 + 3 u + 9
= 7 u + 16
= 7 x 17 + 16
= 135
Fraction of the students who were girls in the end
=
75135 =
59 Answer(s):
59