In June, the ratio of girls and boys in a school's Basketball Club was 3 : 5. In July, 44 new members joined the club. As a result, the ratio of girls to boys in the club became 4 : 3. There were 15 girls in the Basketball Club in June. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
3 u |
5 u |
| Change |
+ 44 |
| After |
4 p |
3 p |
Number of girls at first = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of members at first
= 3 u + 5 u
= 8 u
= 8 x 5
= 40
Total number of members in the end
= 40 + 44
= 84
Total number of members in the end
= 4 p + 3 p
= 7 p
7 p = 84
1 p = 84 ÷ 7 = 12
Number of boys in the end
= 3 p
= 3 x 12
= 36
Number of boys at first
= 5 u
= 5 x 5
= 25
Number of new members who were boys
= 36 - 25
= 11
Answer(s): 11
