Question

A recent survey of Arlington High School 11th grade students found that 56% were female and 58% like math as their favorite subject. If 76% of all students are either female or like math as their favorite subject, then what percent of the 11th graders were female students who liked math as their favorite subject?

Answer 1

If 56% are female, and 58% have math as their favorite subject, then there are some female students who like math best, so they have been counted in both. We can added the given of 56% + 58% = 114%, then subtract the 76% who are either female or like math, to get 114% - 76% = 38% as the number of students who have been counted under both. This means that 38% are female students who like math as their favorite subject.