The ratio of the number of girls to the number of boys in a class is 3 : 4. 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 girls who scored distinction to those who did not score distinction is 13 : 2. What is the ratio of boys who scored distinction to the boys who did not score distinction?
Girls |
Boys |
Total |
3x5 = 15 u |
4x5 = 20 u |
7x5 = 35 u |
Distinction |
No distinction |
Total |
4x7 = 28 u |
1x7 = 7 u |
5x7 = 35 u |
Girls |
Boys |
Total |
15 u |
20 u |
35 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
13 u |
2 u |
15 u |
5 u |
35 u |
The total number of pupils remains unchanged. Make the total number of pupils the same. LCM of 7 and 5 is 35.
Boys who scored distinction : Boys who did not score distinction
15 : 5
3 : 1
Answer(s): 3 : 1