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on a recent survey, 60% of those surveyed indicated that they preferred…

Question

on a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza.
part 1: if 540 people preferred hamburgers, how many people preferred pizza?
a 360
b 810
c 900
d 1350

Explanation:

Step1: Find the total number of people surveyed

Let the total number of people surveyed be \(x\). We know that \(60\%\) (or \(0.6\)) of \(x\) is \(540\). So, \(0.6x = 540\). Solving for \(x\), we get \(x=\frac{540}{0.6}=900\).

Step2: Find the number of people who preferred pizza

Since \(60\%\) preferred hamburgers, \(100\% - 60\%=40\%\) preferred pizza. The number of people who preferred pizza is \(0.4\times900 = 360\).

Answer:

A. 360