OpenSAT

We can use a Venn Diagram to visualize the information given. Let A represent the set of people who like apples and O represent the set of people who like oranges. The number of people who like both apples and oranges is 60, so we can fill in the overlapping region of the Venn Diagram with the number 60. Since 120 people like apples and 60 like both apples and oranges, 120 – 60 = 60 people like only apples. Since 100 people like oranges and 60 like both apples and oranges, 100 – 60 = 40 people like only oranges. Therefore, there are 200 – 60 – 40 – 60 = 40 people who like neither apples nor oranges.