On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza. If 540 people preferred pizza, how many people preferred hamburgers?

Question

Responses
A
360
360
B
810
810
C
900
900
D
1350

Answer 1

Let's denote the total number of people surveyed as \( x \).

According to the survey results:

• 60% preferred hamburgers, which means that 40% preferred pizza.

We know that 540 people preferred pizza, which represents 40% of the total number surveyed. Therefore, we can set up the following equation:

\[ 0.4x = 540 \]

To find the total number of people surveyed (\( x \)), we can solve for \( x \):

\[ x = \frac{540}{0.4} = 1350 \]

Now, to find the number of people who preferred hamburgers, we calculate 60% of the total number surveyed:

\[ 0.6x = 0.6 \times 1350 = 810 \]

Thus, the number of people who preferred hamburgers is 810.

The correct answer is: B: 810