The ratio of the number of girls to the number of boys in a class is 1 : 4. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 3 : 1. The ratio of the girls who scored distinction to those who did not score distinction is 1 : 3. What is the ratio of boys who scored distinction to the boys who did not score distinction?
Girls |
Boys |
Total |
1x4 = 4 u |
4x4 = 16 u |
5x4 = 20 u |
Distinction |
No distinction |
Total |
3x5 = 15 u |
1x5 = 5 u |
4x5 = 20 u |
Girls |
Boys |
Total |
4 u |
16 u |
20 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
1 u |
3 u |
14 u |
2 u |
20 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 5 and 4 is 20.
Boys who scored distinction : Boys who did not score distinction
14 : 2
7 : 1
Answer(s): 7 : 1