Problem:
There are  students at Colfax Middle School, where the ratio of boys to girls is . There are  students at Winthrop Middle School, where the ratio of boys to girls is . The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
The number of girls at the dance is . So the fraction of the students that are girls is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions