Class 4 Peace and 4 Gentleness had the same number of pupils. The ratio of the number of girls in 4 Peace to the number of girls in 4 Gentleness was 7 : 15. The ratio of the number of boys in 4 Peace to the number of boys in 4 Gentleness was 3 : 1.
- What is the ratio of the number of boys to the number of girls in Class 4 Peace?
- If there were 33 fewer boys than girls in Class 4 Gentleness, how many pupils were there each class?
Class 4 Peace |
Class 4 Gentleness |
1x19 = 19 u |
1x19 = 19 u |
Girls |
Boys |
Girls |
Boys |
7 |
3x4 |
15 |
1x4 |
7 u |
12 u |
15 u |
4 u |
(a)
Class 4 Peace
Boys : Girls
7 : 12
(b)
Number of fewer boys than girls in Class 4 Gentleness
= 15 u - 4 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of pupils in each class
= 19 u
= 19 x 3
= 57
Answer(s): (a) 7 : 12; (b) 57