In August, the ratio of girls and boys in a school's Basketball Club was 2 : 5. In September, 95 new members joined the club. As a result, the ratio of girls to boys in the club became 7 : 6. There were 10 girls in the Basketball Club in August. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
2 u |
5 u |
| Change |
+ 95 |
| After |
7 p |
6 p |
Number of girls at first = 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total number of members at first
= 2 u + 5 u
= 7 u
= 7 x 5
= 35
Total number of members in the end
= 35 + 95
= 130
Total number of members in the end
= 7 p + 6 p
= 13 p
13 p = 130
1 p = 130 ÷ 13 = 10
Number of boys in the end
= 6 p
= 6 x 10
= 60
Number of boys at first
= 5 u
= 5 x 5
= 25
Number of new members who were boys
= 60 - 25
= 35
Answer(s): 35
