Class 6 Patience and 6 Joy had the same number of pupils. The ratio of the number of girls in 6 Patience to the number of girls in 6 Joy was 5 : 11. The ratio of the number of boys in 6 Patience to the number of boys in 6 Joy was 4 : 1.
- What is the ratio of the number of boys to the number of girls in Class 6 Patience?
- If there were 36 fewer boys than girls in Class 6 Joy, how many pupils were there each class?
Class 6 Patience |
Class 6 Joy |
1x13 = 13 u |
1x13 = 13 u |
Girls |
Boys |
Girls |
Boys |
5 |
4x2 |
11 |
1x2 |
5 u |
8 u |
11 u |
2 u |
(a)
Class 6 Patience
Boys : Girls
5 : 8
(b)
Number of fewer boys than girls in Class 6 Joy
= 11 u - 2 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of pupils in each class
= 13 u
= 13 x 4
= 52
Answer(s): (a) 5 : 8; (b) 52