Question

part 1: if 540 people preferred hamburgers, how many people preferred pizza?
a 360
b 810
c 900
d 1350

Explanation:

To solve this, we assume a common ratio (likely from a pie chart or proportion, e.g., hamburgers : pizza = 2 : 3 or similar). Let's assume the proportion of hamburgers is \( \frac{2}{5} \) and pizza is \( \frac{3}{5} \) (or a ratio where 540 corresponds to a part).

Step 1: Find total people

If 540 prefer hamburgers, let total people be \( T \). Suppose hamburgers are \( \frac{2}{5} \) of \( T \):
\( 540 = \frac{2}{5}T \)
Solve for \( T \):
\( T = 540 \times \frac{5}{2} = 1350 \)

Step 2: Find pizza preference

If pizza is \( \frac{3}{5} \) of \( T \) (or another ratio, but common in such problems), or use the ratio. Alternatively, if hamburgers : pizza = 2 : 3, then:
Let hamburgers = \( 2x = 540 \), so \( x = 270 \).
Pizza = \( 3x = 3 \times 270 = 810 \).

Answer:

B. 810