The ratio of the number of girls to the number of boys in a class is 1 : 3. The ratio of the students in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the girls who scored distinction to those who did not score distinction is 4 : 1. What is the ratio of boys who scored distinction to the boys who did not score distinction?
| Girls |
Boys |
Total |
1x5 =
5 u |
3x5 =
15 u |
4x5 =
20 u |
| Distinction |
No distinction |
Total |
4x4 =
16 u |
1x4 =
4 u |
5x4 =
20 u |
| Girls |
Boys |
Total |
| 5 u |
15 u |
20 u |
| Distinction |
No Distinction |
Distinction |
No distinction |
|
| 4 u |
1 u |
12 u |
3 u |
20 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 4 and 5 is 20.
Boys who scored distinction : Boys who did not score distinction
12 : 3
4 : 1
Answer(s): 4 : 1
