Question

All first-year students at Red State University must take calculus, English composition, or both. If half of the 2,400 first-year students at Red State University take calculus and half do not, and one-third of those who take calculus also take English composition, how many students take English composition?

A) 400
B) 800
C) 1,200
D) 1,600
E) 2,000

Answer 1

The correct option is D) 1,600.

Explanation:

Consider the provided information.

Half of the 2,400 first-year students at Red State University take calculus and half do not.

That means 1200 students take only English.

One-third of those who take Calculus also take English Composition, we can say

1200 take calculus and one third of it is:
`(1200)/(3)=400`

400 take Calculus also take English Composition.

Thus, the total number of students taking English Composition = 400 + 1200 = 1600

Hence, the correct option is D) 1,600.