Question

Of 158 consumers polled, some like only action movies, some prefer just horror movies, and some like both. If 43 people like only action, and 62 like both, how many people prefer only horror movies?
(1 point)
Responses

58
58

55
55

53
53

43

Answer 1

To solve this problem, we can use a Venn diagram. Let's assign variables to each category: A for only action movies, B for only horror movies, and C for both action and horror movies.

From the information given, we know that A = 43 and C = 62.

Since we know that the total number of consumers is 158, we can calculate B using the formula:

A + B + C = Total
43 + B + 62 = 158

Simplifying the equation, we have:
B + 105 = 158

Subtracting 105 from both sides, we get:
B = 53

Therefore, 53 people prefer only horror movies.
The answer is 53.