Class 3 Gentleness and 3 Patience had the same number of pupils. The ratio of the number of girls in 3 Gentleness to the number of girls in 3 Patience was 1 : 5. The ratio of the number of boys in 3 Gentleness to the number of boys in 3 Patience was 3 : 1.
- What is the ratio of the number of boys to the number of girls in Class 3 Gentleness?
- If there were 21 fewer boys than girls in Class 3 Patience, how many pupils were there each class?
Class 3 Gentleness |
Class 3 Patience |
1x7 = 7 u |
1x7 = 7 u |
Girls |
Boys |
Girls |
Boys |
1 |
3x2 |
5 |
1x2 |
1 u |
6 u |
5 u |
2 u |
(a)
Class 3 Gentleness
Boys : Girls
1 : 6
(b)
Number of fewer boys than girls in Class 3 Patience
= 5 u - 2 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of pupils in each class
= 7 u
= 7 x 7
= 49
Answer(s): (a) 1 : 6; (b) 49