In February, the ratio of girls and boys in a school's Computer Club was 3 : 8. In March, 82 new members joined the club. As a result, the ratio of girls to boys in the club became 7 : 6. There were 6 girls in the Computer Club in February. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
3 u |
8 u |
| Change |
+ 82 |
| After |
7 p |
6 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 + 82
= 104
Total number of members in the end
= 7 p + 6 p
= 13 p
13 p = 104
1 p = 104 ÷ 13 = 8
Number of boys in the end
= 6 p
= 6 x 8
= 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
