In August, the ratio of girls and boys in a school's Badminton Club was 4 : 7. In September, 88 new members joined the club. As a result, the ratio of girls to boys in the club became 6 : 5. There were 8 girls in the Badminton Club in August. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
4 u |
7 u |
| Change |
+ 88 |
| After |
6 p |
5 p |
Number of girls at first = 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Total number of members at first
= 4 u + 7 u
= 11 u
= 11 x 2
= 22
Total number of members in the end
= 22 + 88
= 110
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 110
1 p = 110 ÷ 11 = 10
Number of boys in the end
= 5 p
= 5 x 10
= 50
Number of boys at first
= 7 u
= 7 x 2
= 14
Number of new members who were boys
= 50 - 14
= 36
Answer(s): 36
