Class 3 Patience and 3 Faithfulness had the same number of children. The ratio of the number of girls in 3 Patience to the number of girls in 3 Faithfulness was 5 : 13. The ratio of the number of boys in 3 Patience to the number of boys in 3 Faithfulness was 3 : 1.
- What is the ratio of the number of boys to the number of girls in Class 3 Patience?
- If there were 18 fewer boys than girls in Class 3 Faithfulness, how many children were there each class?
Class 3 Patience |
Class 3 Faithfulness |
1x17 = 17 u |
1x17 = 17 u |
Girls |
Boys |
Girls |
Boys |
5 |
3x4 |
13 |
1x4 |
5 u |
12 u |
13 u |
4 u |
(a)
Class 3 Patience
Boys : Girls
5 : 12
(b)
Number of fewer boys than girls in Class 3 Faithfulness
= 13 u - 4 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of children in each class
= 17 u
= 17 x 2
= 34
Answer(s): (a) 5 : 12; (b) 34