Class 6 Joy and 6 Peace had the same number of pupils. The ratio of the number of girls in 6 Joy to the number of girls in 6 Peace was 7 : 11. The ratio of the number of boys in 6 Joy to the number of boys in 6 Peace was 3 : 1.
- What is the ratio of the number of boys to the number of girls in Class 6 Joy?
- If there were 27 fewer boys than girls in Class 6 Peace, how many pupils were there each class?
Class 6 Joy |
Class 6 Peace |
1x13 = 13 u |
1x13 = 13 u |
Girls |
Boys |
Girls |
Boys |
7 |
3x2 |
11 |
1x2 |
7 u |
6 u |
11 u |
2 u |
(a)
Class 6 Joy
Boys : Girls
7 : 6
(b)
Number of fewer boys than girls in Class 6 Peace
= 11 u - 2 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of pupils in each class
= 13 u
= 13 x 3
= 39
Answer(s): (a) 7 : 6; (b) 39