Question

Of the 465 sophomores at Eastside High School, exactly 1/3 are taking French II or Chemistry I or both. There are 40 sophomores taking French II but not Chemistry I, and 60 sophomores taking Chemistry I but not French II. How many sophomores are taking both French II and Chemistry I ?

Answer 1

55

Explanation:

First find the number of sophomores taking French II, Chemistry I or both:

`(1)/(3) *465\\=155`

Of the 155 sophomores, 40 are taking only French II and 60 are taking only Chemistry I:

`155-40-60=55`

There are 55 sophomores taking French II and Chemistry I.