In April, the ratio of boys and girls in a school's Art Club was 3 : 8. In May, 46 new members joined the club. As a result, the ratio of boys to girls in the club became 5 : 4. There were 12 boys in the Art Club in April. How many of the new members were girls?
|
Boys |
Girls |
Before |
3 u |
8 u |
Change |
+ 46 |
After |
5 p |
4 p |
Number of boys at first = 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Total number of members at first
= 3 u + 8 u
= 11 u
= 11 x 4
= 44
Total number of members in the end
= 44 + 46
= 90
Total number of members in the end
= 5 p + 4 p
= 9 p
9 p = 90
1 p = 90 ÷ 9 = 10
Number of girls in the end
= 4 p
= 4 x 10
= 40
Number of girls at first
= 8 u
= 8 x 4
= 32
Number of new members who were girls
= 40 - 32
= 8
Answer(s): 8