Last year, there were 96 members in a school musical play club. The number of boys was
35 the number of girls.
- What percentage of the members were boys last year?
- This year, 9 girls left the club and 13 boys joined the club. What percentage of the members are boys this year?
(a)
Boys : Girls : Total
3 : 5 : 8
Percentage of members that were boys
=
38 x 100%
= 37.5%
(b)
|
Boys |
Girls |
Before |
3 u |
5 u |
Change |
+ 13 |
- 9 |
After |
3 u + 13 |
5 u - 9 |
8 u = 96
1 u = 96 ÷ 8 = 12
Number of boys this year
= 3 u + 13
= (3 x 12) + 13
= 36 + 13
= 49
Total members this year
= 96 + 13 - 9
= 100
Percentage of boys in the club
=
49100 x 100%
= 49%
Answer(s): (a) 37.5%; (b) 49%