The ratio of the number of girls to the number of boys in a class is 3 : 5. The ratio of the children 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 |
5x5 = 25 u |
8x5 = 40 u |
Distinction |
No distinction |
Total |
4x8 = 32 u |
1x8 = 8 u |
5x8 = 40 u |
Girls |
Boys |
Total |
15 u |
25 u |
40 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
13 u |
2 u |
19 u |
6 u |
40 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 8 and 5 is 40.
Boys who scored distinction : Boys who did not score distinction
19 : 6
Answer(s): 19 : 6