There were 5 more girls than boys in the music room. Excluding 9 boys, the number of boys was
45 of the number of girls. When another 5 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 |
5 more |
|
Before |
5 u |
4 u + 9 |
Change |
+ 5 |
|
After |
5 u + 5 |
4 u + 9 |
Number of girls at first was 5 more than the number of boys. If another 5 boys entered the music room at first, the number of girls and boys at first would be the same.
5 u = 4 u + 9 + 5
5 u - 4 u = 9 + 5
1 u = 14
Total number of girls in the end
= 5 u + 5
= 5 x 14 + 5
= 70 + 5
= 75
Total number of students in the end
= 5 u + 5 + 4 u + 9
= 9 u + 14
= 9 x 14 + 14
= 140
Fraction of the students who were girls in the end
=
75140 =
1528 Answer(s):
1528