Class 3 Patience and 3 Faithfulness had the same number of pupils. The ratio of the number of boys in 3 Patience to the number of boys in 3 Faithfulness was 3 : 5. The ratio of the number of girls in 3 Patience to the number of girls in 3 Faithfulness was 2 : 1.
- What is the ratio of the number of girls to the number of boys in Class 3 Patience?
- If there were 6 fewer girls than boys in Class 3 Faithfulness, how many pupils were there each class?
Class 3 Patience |
Class 3 Faithfulness |
1x7 = 7 u |
1x7 = 7 u |
Boys |
Girls |
Boys |
Girls |
3 |
2x2 |
5 |
1x2 |
3 u |
4 u |
5 u |
2 u |
(a)
Class 3 Patience
Girls : Boys
3 : 4
(b)
Number of fewer girls than boys in Class 3 Faithfulness
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of pupils in each class
= 7 u
= 7 x 2
= 14
Answer(s): (a) 3 : 4; (b) 14