Question #N430
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 represent the information given in the problem. Let the number of people who like only apples be a, the number of people who like only oranges be b, and the number of people who like both be c. Since 20 people like both apples and oranges, c = 20. Since 60 people like apples, a + c = 60, so a + 20 = 60, so a = 40. Since 40 people like oranges, b + c = 40, so b + 20 = 40, so b = 20. Therefore, 20 people like only oranges.