Class 4 Patience and 4 Faithfulness had the same number of pupils. The ratio of the number of girls in 4 Patience to the number of girls in 4 Faithfulness was 5 : 7. The ratio of the number of boys in 4 Patience to the number of boys in 4 Faithfulness was 2 : 1.
- What is the ratio of the number of boys to the number of girls in Class 4 Patience?
- If there were 30 fewer boys than girls in Class 4 Faithfulness, how many pupils were there each class?
Class 4 Patience |
Class 4 Faithfulness |
1x9 = 9 u |
1x9 = 9 u |
Girls |
Boys |
Girls |
Boys |
5 |
2x2 |
7 |
1x2 |
5 u |
4 u |
7 u |
2 u |
(a)
Class 4 Patience
Boys : Girls
5 : 4
(b)
Number of fewer boys than girls in Class 4 Faithfulness
= 7 u - 2 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of pupils in each class
= 9 u
= 9 x 6
= 54
Answer(s): (a) 5 : 4; (b) 54