Class 6 Gentleness and 6 Faithfulness had the same number of pupils. The ratio of the number of girls in 6 Gentleness to the number of girls in 6 Faithfulness was 9 : 13. The ratio of the number of boys in 6 Gentleness to the number of boys in 6 Faithfulness was 2 : 1.
- What is the ratio of the number of boys to the number of girls in Class 6 Gentleness?
- If there were 27 fewer boys than girls in Class 6 Faithfulness, how many pupils were there each class?
Class 6 Gentleness |
Class 6 Faithfulness |
1x17 = 17 u |
1x17 = 17 u |
Girls |
Boys |
Girls |
Boys |
9 |
2x4 |
13 |
1x4 |
9 u |
8 u |
13 u |
4 u |
(a)
Class 6 Gentleness
Boys : Girls
9 : 8
(b)
Number of fewer boys than girls in Class 6 Faithfulness
= 13 u - 4 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of pupils in each class
= 17 u
= 17 x 3
= 51
Answer(s): (a) 9 : 8; (b) 51