Class 6 Patience and 6 Goodness had the same number of children. The ratio of the number of girls in 6 Patience to the number of girls in 6 Goodness was 7 : 11. The ratio of the number of boys in 6 Patience to the number of boys in 6 Goodness was 3 : 1.
- What is the ratio of the number of boys to the number of girls in Class 6 Patience?
- If there were 18 fewer boys than girls in Class 6 Goodness, how many children were there each class?
Class 6 Patience |
Class 6 Goodness |
1x13 = 13 u |
1x13 = 13 u |
Girls |
Boys |
Girls |
Boys |
7 |
3x2 |
11 |
1x2 |
7 u |
6 u |
11 u |
2 u |
(a)
Class 6 Patience
Boys : Girls
7 : 6
(b)
Number of fewer boys than girls in Class 6 Goodness
= 11 u - 2 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of children in each class
= 13 u
= 13 x 2
= 26
Answer(s): (a) 7 : 6; (b) 26