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 gold to those who did not score gold is 4 : 1. The ratio of the girls who scored gold to those who did not score gold is 11 : 4. What is the ratio of boys who scored gold to the boys who did not score gold?
Girls |
Boys |
Total |
3x5 = 15 u |
4x5 = 20 u |
7x5 = 35 u |
Gold |
No gold |
Total |
4x7 = 28 u |
1x7 = 7 u |
5x7 = 35 u |
Girls |
Boys |
Total |
15 u |
20 u |
35 u |
Gold |
No Gold |
Gold |
No gold |
|
11 u |
4 u |
17 u |
3 u |
35 u |
The total number of students remains unchanged. Make the total number of students the same. LCM of 7 and 5 is 35.
Boys who scored gold : Boys who did not score gold
17 : 3
Answer(s): 17 : 3