Question #N231
A survey of 100 people found that 60 people liked apples, 45 people liked oranges, and 20 people liked both apples and oranges. How many people liked neither apples nor oranges?
A. 15
B. 25
C. 35
D. 45
Correct Answer is: A
We can use a Venn diagram to solve this problem. Let the number of people who liked only apples be $a$, the number of people who liked only oranges be $b$, and the number of people who liked neither be $c$. Then, we have the following equations: $a + 20 + b = 100$, $a + 20 = 60$, and $b + 20 = 45$. Solving for $a$ and $b$, we get $a = 40$ and $b = 25$. Substituting these values into the equation $a + 20 + b = 100$ gives us $40 + 20 + 25 = 100$. Therefore, $c = 100 - 85 = 15$.