Question

Percent Problem
On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza.
Question 1
Part 1: If 540 people preferred hamburgers, how many people preferred pizza?
Responses
A 360360
B 810810
C 900900
D 13501350
Question 2
Part 2: If 540 people preferred pizza, how many people preferred hamburgers?
Responses
A 360360
B 810810
C 900900
D 1350

Answer 1

To solve the percent problem, let’s analyze each part separately.

### Question 1
**Part 1:** If 540 people preferred hamburgers, and this represents 60% of those surveyed, we need to find out how many people preferred pizza.

1. **Let the total number of people surveyed be \( x \)**.
2. We know that \( 60\% \) of \( x \) is equal to 540:
\[
0.6x = 540
\]
3. Solving for \( x \):
\[
x = \frac{540}{0.6} = 900
\]
4. Now, to find the number of people who preferred pizza (which is \( 100\% - 60\% = 40\% \)):
\[
40\% \text{ of } 900 = 0.4 \times 900 = 360
\]

So, the answer to Question 1 is:
**A. 360**

### Question 2
**Part 2:** If 540 people preferred pizza, we want to find how many people preferred hamburgers.

1. Again, we know the total number of people surveyed is 900 (as calculated in Part 1).
2. If 540 people preferred pizza, we need to find how many preferred hamburgers:
\[
\text{Preferred hamburgers} = 900 - 540 = 360
\]

So, the answer to Question 2 is:
**A. 360**