The ratio of the number of girls to the number of boys in a class is 2 : 5. The ratio of the children 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 7 : 5. What is the ratio of boys who scored distinction to the boys who did not score distinction?
Girls |
Boys |
Total |
2x6 = 12 u |
5x6 = 30 u |
7x6 = 42 u |
Distinction |
No distinction |
Total |
5x7 = 35 u |
1x7 = 7 u |
6x7 = 42 u |
Girls |
Boys |
Total |
12 u |
30 u |
42 u |
Distinction |
No Distinction |
Distinction |
No distinction |
|
7 u |
5 u |
28 u |
2 u |
42 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 7 and 6 is 42.
Boys who scored distinction : Boys who did not score distinction
28 : 2
14 : 1
Answer(s): 14 : 1