Questions: A survey at Pizza Hut showed that 53 people like sausage pizza, 29 people like Hawaiian pizza, and 14 people like both sausage pizza and Hawaiian pizza. How many people like either sausage pizza or Hawaiian pizza? 82 96 68 67

Solution Steps

To find the number of people who like either sausage pizza or Hawaiian pizza, we can use the principle of inclusion-exclusion. This principle states that the total number of people who like either type of pizza is the sum of the number of people who like each type of pizza minus the number of people who like both types.

We are given the following values:

• Number of people who like sausage pizza: \( 53 \)
• Number of people who like Hawaiian pizza: \( 29 \)
• Number of people who like both sausage and Hawaiian pizza: \( 14 \)

To find the number of people who like either sausage pizza or Hawaiian pizza, we use the principle of inclusion-exclusion: \[ \text{Number of people who like either type of pizza} = \text{Number of people who like sausage pizza} + \text{Number of people who like Hawaiian pizza} - \text{Number of people who like both types of pizza} \]

Substituting the given values into the formula: \[ \text{Number of people who like either type of pizza} = 53 + 29 - 14 \]

Perform the arithmetic operation: \[ 53 + 29 - 14 = 68 \]

Final Answer