In March, the ratio of boys and girls in a school's Tennis Club was 5 : 8. In April, 82 new members joined the club. As a result, the ratio of boys to girls in the club became 6 : 5. There were 15 boys in the Tennis Club in March. How many of the new members were girls?
| |
Boys |
Girls |
| Before |
5 u |
8 u |
| Change |
+ 82 |
| After |
6 p |
5 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 + 82
= 121
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 121
1 p = 121 ÷ 11 = 11
Number of girls in the end
= 5 p
= 5 x 11
= 55
Number of girls at first
= 8 u
= 8 x 3
= 24
Number of new members who were girls
= 55 - 24
= 31
Answer(s): 31
