Question #N990

A survey of 100 people found that 60 people like apples, 45 people like oranges, and 20 people like both apples and oranges. How many people like only apples?
A. 20
B. 40
C. 60
D. 80

Correct Answer is: B

We can use a Venn diagram to solve this. Let the number of people who like only apples be represented by x. [asy] label("Apples",(1.5,1.5)); label("Oranges",(2.5,1.5)); label("x",(1,1)); label("20",(2,1)); label("25",(3,1)); draw(Circle((1,1),1)); draw(Circle((2,1),1)); draw((0.5,0)--(3.5,0)); draw((0,0.5)--(0,2.5)); [/asy] The number of people who like oranges is 45, so 20 + 25 = 45. Therefore, the number of people who like only apples is 40.