Class 6 Patience and 6 Goodness had the same number of students. The ratio of the number of boys in 6 Patience to the number of boys in 6 Goodness was 5 : 13. The ratio of the number of girls in 6 Patience to the number of girls in 6 Goodness was 3 : 1.
- What is the ratio of the number of girls to the number of boys in Class 6 Patience?
- If there were 27 fewer girls than boys in Class 6 Goodness, how many students were there each class?
Class 6 Patience |
Class 6 Goodness |
1x17 = 17 u |
1x17 = 17 u |
Boys |
Girls |
Boys |
Girls |
5 |
3x4 |
13 |
1x4 |
5 u |
12 u |
13 u |
4 u |
(a)
Class 6 Patience
Girls : Boys
5 : 12
(b)
Number of fewer girls than boys in Class 6 Goodness
= 13 u - 4 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of students in each class
= 17 u
= 17 x 3
= 51
Answer(s): (a) 5 : 12; (b) 51