The ratio of the number of girls to the number of boys in a class is 3 : 4. The ratio of the children in the class who scored gold to those who did not score gold is 2 : 1. The ratio of the girls who scored gold to those who did not score gold is 4 : 5. What is the ratio of boys who scored gold to the boys who did not score gold?
Girls |
Boys |
Total |
3x3 = 9 u |
4x3 = 12 u |
7x3 = 21 u |
Gold |
No gold |
Total |
2x7 = 14 u |
1x7 = 7 u |
3x7 = 21 u |
Girls |
Boys |
Total |
9 u |
12 u |
21 u |
Gold |
No Gold |
Gold |
No gold |
|
4 u |
5 u |
10 u |
2 u |
21 u |
The total number of children remains unchanged. Make the total number of children the same. LCM of 7 and 3 is 21.
Boys who scored gold : Boys who did not score gold
10 : 2
5 : 1
Answer(s): 5 : 1