Question

1. students at a high school were surveyed about the schools uniform policy, as shown in the chart below. given that 100 students responded \change bottom,\ how many total students responded \change shoes?\ survey results change shoes x - 21% no change 50% change bottom 5% change top x% a. 360 b. 540 c. 1800 d. 2000

Explanation:

Step1: Find the percentage for "change bottom"

From the pie - chart, assume the percentage for "change bottom" is \(5\%\) (since the other visible percentages are \(27\%\) for "change shoes" and \(68\%\) for "no change", and the total percentage of a pie - chart is \(100\%\), so \(100-(68 + 27)=5\)).

Step2: Calculate the total number of students surveyed

Let the total number of students be \(x\). We know that \(5\%\) of \(x\) is \(100\). So, \(0.05x = 100\), then \(x=\frac{100}{0.05}=2000\).

Step3: Calculate the number of students who responded "change shoes"

The percentage of students who responded "change shoes" is \(27\%\). So the number of such students is \(0.27\times2000 = 540\).

Answer:

B. 540