Last year, there were 96 members in a school musical play club. The number of girls was
35 the number of boys.
- What percentage of the members were girls last year?
- This year, 8 boys left the club and 12 girls joined the club. What percentage of the members are girls this year?
(a)
Girls : Boys : Total
3 : 5 : 8
Percentage of members that were girls
=
38 x 100%
= 37.5%
(b)
|
Girls |
Boys |
Before |
3 u |
5 u |
Change |
+ 12 |
- 8 |
After |
3 u + 12 |
5 u - 8 |
8 u = 96
1 u = 96 ÷ 8 = 12
Number of girls this year
= 3 u + 12
= (3 x 12) + 12
= 36 + 12
= 48
Total members this year
= 96 + 12 - 8
= 100
Percentage of girls in the club
=
48100 x 100%
= 48%
Answer(s): (a) 37.5%; (b) 48%