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 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 5 : 1. What is the ratio of boys who scored gold to the boys who did not score gold?
Girls |
Boys |
Total |
2x3 = 6 u |
5x3 = 15 u |
7x3 = 21 u |
Gold |
No gold |
Total |
2x7 = 14 u |
1x7 = 7 u |
3x7 = 21 u |
Girls |
Boys |
Total |
6 u |
15 u |
21 u |
Gold |
No Gold |
Gold |
No gold |
|
5 u |
1 u |
9 u |
6 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
9 : 6
3 : 2
Answer(s): 3 : 2