The ratio of the number of girls to the number of boys in a class is 3 : 5. The ratio of the students in the class who scored gold to those who did not score gold is 5 : 1. The ratio of the girls who scored gold to those who did not score gold is 7 : 2. What is the ratio of boys who scored gold to the boys who did not score gold?
Girls |
Boys |
Total |
3x3 = 9 u |
5x3 = 15 u |
8x3 = 24 u |
Gold |
No gold |
Total |
5x4 = 20 u |
1x4 = 4 u |
6x4 = 24 u |
Girls |
Boys |
Total |
9 u |
15 u |
24 u |
Gold |
No Gold |
Gold |
No gold |
|
7 u |
2 u |
13 u |
2 u |
24 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 8 and 6 is 24.
Boys who scored gold : Boys who did not score gold
13 : 2
Answer(s): 13 : 2