Question

a sports radio station asked local listeners for their favorite baseball team, 500 people answered. answer the questions based on the pie graph shown below.
favorite baseball team
rangers
28%
red
22%
pirates
12%
angels
13%
braves
15%
reds
how many listeners chose the reds?

Explanation:

Step1: Find the percentage of Reds

First, we calculate the percentage of listeners who chose Reds. The total percentage should be 100%. So we sum up the given percentages: \(28\% + 22\% + 12\% + 13\% + 15\% = 90\%\). Then the percentage for Reds is \(100\% - 90\% = 10\%\).

Step2: Calculate the number of listeners for Reds

We know the total number of listeners is 500. To find the number of listeners who chose Reds, we calculate \(10\%\) of 500. The formula for percentage calculation is \(\text{Number} = \text{Total} \times \frac{\text{Percentage}}{100}\). So, \(\text{Number of Reds listeners} = 500\times\frac{10}{100}\).
Simplifying this, \(500\times0.1 = 50\).

Answer:

50