In June, the ratio of girls and boys in a school's Art Club was 3 : 5. In July, 37 new members joined the club. As a result, the ratio of girls to boys in the club became 6 : 5. There were 15 girls in the Art Club in June. How many of the new members were boys?
| |
Girls |
Boys |
| Before |
3 u |
5 u |
| Change |
+ 37 |
| After |
6 p |
5 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 + 37
= 77
Total number of members in the end
= 6 p + 5 p
= 11 p
11 p = 77
1 p = 77 ÷ 11 = 7
Number of boys in the end
= 5 p
= 5 x 7
= 35
Number of boys at first
= 5 u
= 5 x 5
= 25
Number of new members who were boys
= 35 - 25
= 10
Answer(s): 10
