The ratio of the number of girls to the number of boys in a class is 3 : 4. The ratio of the students in the class who scored distinction to those who did not score distinction is 5 : 1. The ratio of the girls who scored distinction to those who did not score distinction is 17 : 1. What is the ratio of boys who scored distinction to the boys who did not score distinction?
Girls |
Boys |
Total |
3x6 = 18 u |
4x6 = 24 u |
7x6 = 42 u |
Distinction |
No distinction |
Total |
5x7 = 35 u |
1x7 = 7 u |
6x7 = 42 u |
Girls |
Boys |
Total |
18 u |
24 u |
42 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
17 u |
1 u |
18 u |
6 u |
42 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 7 and 6 is 42.
Boys who scored distinction : Boys who did not score distinction
18 : 6
3 : 1
Answer(s): 3 : 1