The ratio of the number of boys to the number of girls in a class is 1 : 3. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 2 : 3. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Boys |
Girls |
Total |
1x5 = 5 u |
3x5 = 15 u |
4x5 = 20 u |
Distinction |
No distinction |
Total |
4x4 = 16 u |
1x4 = 4 u |
5x4 = 20 u |
Boys |
Girls |
Total |
5 u |
15 u |
20 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
2 u |
3 u |
14 u |
1 u |
20 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 4 and 5 is 20.
Girls who scored distinction : Girls who did not score distinction
14 : 1
Answer(s): 14 : 1