There were 5 more girls than boys in the computer lab. Excluding 9 boys, the number of boys was
34 of the number of girls. When another 4 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 |
4 u |
3 u + 9 |
Change |
+ 4 |
|
After |
4 u + 4 |
3 u + 9 |
Number of girls at first was 5 more than the number of boys. If another 5 boys entered the computer lab at first, the number of girls and boys at first would be the same.
4 u = 3 u + 9 + 5
4 u - 3 u = 9 + 5
1 u = 14
Total number of girls in the end
= 4 u + 4
= 4 x 14 + 4
= 56 + 4
= 60
Total number of students in the end
= 4 u + 4 + 3 u + 9
= 7 u + 13
= 7 x 14 + 13
= 111
Fraction of the students who were girls in the end
=
60111 =
2037 Answer(s):
2037