In July, the ratio of girls and boys in a school's Computer Club was 3 : 8. In August, 86 new members joined the club. As a result, the ratio of girls to boys in the club became 5 : 4. There were 6 girls in the Computer Club in July. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
3 u |
8 u |
| Change |
+ 86 |
| After |
5 p |
4 p |
Number of girls at first = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of members at first
= 3 u + 8 u
= 11 u
= 11 x 2
= 22
Total number of members in the end
= 22 + 86
= 108
Total number of members in the end
= 5 p + 4 p
= 9 p
9 p = 108
1 p = 108 ÷ 9 = 12
Number of boys in the end
= 4 p
= 4 x 12
= 48
Number of boys at first
= 8 u
= 8 x 2
= 16
Number of new members who were boys
= 48 - 16
= 32
Answer(s): 32
