Question

trevors city took a telephone poll about a plan to build a new hotel downtown. of the people who took the poll, 280 were in favor of the hotel and 3,720 were against it. what percentage of the people polled were in favor of the hotel? write your answer using a percent sign (%).

Explanation:

Step1: Calculate the total number of people polled

The total number of people polled is the sum of those in favor and those against. So, \(280 + 3720=4000\) people.

Step2: Calculate the percentage of people in favor

The formula for percentage is \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\). Here, the part is the number of people in favor (\(280\)) and the whole is the total number of people polled (\(4000\)). So, \(\text{Percentage}=\frac{280}{4000}\times 100\).
First, simplify \(\frac{280}{4000}=\frac{280\div40}{4000\div40}=\frac{7}{100}\). Then, \(\frac{7}{100}\times100 = 7\).

Answer:

\(7\%\)