Question #N615
A survey of 100 people found that 60 people liked apples, 40 people liked oranges, and 20 people liked both apples and oranges. How many people liked only oranges?
A. 10
B. 20
C. 30
D. 40
Correct Answer is: B
We can use a Venn diagram to solve this problem. Let the number of people who like only apples be represented by x, and the number of people who like only oranges be represented by y. We know that x + 20 + y = 100 (the total number of people surveyed), and that x + 20 = 60 (the number of people who like apples). Solving for x, we get x = 40. Substituting 40 for x into the equation x + 20 + y = 100, we get 40 + 20 + y = 100, or y = 40. Therefore, 40 people like only oranges.