The ratio of the number of girls to the number of boys in a class is 2 : 3. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 2 : 1. The ratio of the girls who scored distinction to those who did not score distinction is 5 : 1. What is the ratio of boys who scored distinction to the boys who did not score distinction?
Girls |
Boys |
Total |
2x3 = 6 u |
3x3 = 9 u |
5x3 = 15 u |
Distinction |
No distinction |
Total |
2x5 = 10 u |
1x5 = 5 u |
3x5 = 15 u |
Girls |
Boys |
Total |
6 u |
9 u |
15 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
5 u |
1 u |
5 u |
4 u |
15 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 5 and 3 is 15.
Boys who scored distinction : Boys who did not score distinction
5 : 4
Answer(s): 5 : 4