In February, the ratio of boys and girls in a school's Basketball Club was 5 : 8. In March, 69 new members joined the club. As a result, the ratio of boys to girls in the club became 5 : 4. There were 15 boys in the Basketball Club in February. How many of the new members were girls?
|
Boys |
Girls |
Before |
5 u |
8 u |
Change |
+ 69 |
After |
5 p |
4 p |
Number of boys at first = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of members at first
= 5 u + 8 u
= 13 u
= 13 x 3
= 39
Total number of members in the end
= 39 + 69
= 108
Total number of members in the end
= 5 p + 4 p
= 9 p
9 p = 108
1 p = 108 ÷ 9 = 12
Number of girls in the end
= 4 p
= 4 x 12
= 48
Number of girls at first
= 8 u
= 8 x 3
= 24
Number of new members who were girls
= 48 - 24
= 24
Answer(s): 24