Class 6 Patience and 6 Gentleness had the same number of pupils. The ratio of the number of girls in 6 Patience to the number of girls in 6 Gentleness was 1 : 10. The ratio of the number of boys in 6 Patience to the number of boys in 6 Gentleness was 4 : 1.
- What is the ratio of the number of boys to the number of girls in Class 6 Patience?
- If there were 21 fewer boys than girls in Class 6 Gentleness, how many pupils were there each class?
Class 6 Patience |
Class 6 Gentleness |
1x13 = 13 u |
1x13 = 13 u |
Girls |
Boys |
Girls |
Boys |
1 |
4x3 |
10 |
1x3 |
1 u |
12 u |
10 u |
3 u |
(a)
Class 6 Patience
Boys : Girls
1 : 12
(b)
Number of fewer boys than girls in Class 6 Gentleness
= 10 u - 3 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of pupils in each class
= 13 u
= 13 x 3
= 39
Answer(s): (a) 1 : 12; (b) 39