The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the children in the class who scored distinction to those who did not score distinction is 5 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 8 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
| Boys |
Girls |
Total |
3x3 =
9 u |
5x3 =
15 u |
8x3 =
24 u |
| Distinction |
No distinction |
Total |
5x4 =
20 u |
1x4 =
4 u |
6x4 =
24 u |
| Boys |
Girls |
Total |
| 9 u |
15 u |
24 u |
| Distinction |
No Distinction |
Distinction |
No distinction |
|
| 8 u |
1 u |
12 u |
3 u |
24 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 8 and 6 is 24.
Girls who scored distinction : Girls who did not score distinction
12 : 3
4 : 1
Answer(s): 4 : 1
