Question

annette is surveying people in the city about their interest in a new shopping mall. she found that 180 people, or 37.5% of those surveyed, do not want a new mall. how many people did annette survey? enter your answer in the box.
people

Explanation:

Step1: Define the variable

Let \( x \) be the total number of people Annette surveyed.

Step2: Set up the equation

We know that \( 37.5\% \) of \( x \) is 180. So we can write the equation as \( 0.375x = 180 \) (since \( 37.5\% = \frac{37.5}{100}=0.375 \)).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by \( 0.375 \). So \( x=\frac{180}{0.375} \).
Calculating \( \frac{180}{0.375} \), we can also rewrite \( 0.375=\frac{3}{8} \), so \( x = 180\div\frac{3}{8}=180\times\frac{8}{3}=480 \).

Answer:

480