4) A public opinion poll was taken to explore the relationship between age and support for a candidate in an election. The results of the poll are summarized in the table below.

\begin{tabular}{|c|c|c|c|}
\hline Age & For & Against & No Opinion \\
\hline [tex]$21-40$[/tex] & 30 & 12 & 8 \\
\hline [tex]$41-60$[/tex] & 20 & 40 & 15 \\
\hline Over 60 & 25 & 35 & 15 \\
\hline
\end{tabular}

What percent of the [tex]$21-40$[/tex] age group was for the candidate?

A. 15
B. 25
C. 40
D. 60



Answer :

To determine what percent of the 21-40 age group was for the candidate, let's break down the process step by step.

1. Identify the relevant data from the table for the 21-40 age group:
- Number of people who were "For" the candidate: 30
- Number of people who were "Against" the candidate: 12
- Number of people with "No Opinion": 8

2. Calculate the total number of people in the 21-40 age group:
[tex]\[ \text{Total number of people} = \text{For} + \text{Against} + \text{No Opinion} \][/tex]
Substituting the given values:
[tex]\[ \text{Total number of people} = 30 + 12 + 8 = 50 \][/tex]

3. Calculate the percentage of people in the 21-40 age group that was for the candidate:
[tex]\[ \text{Percentage of people who were "For"} = \left(\frac{\text{For}}{\text{Total number of people}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage of people who were "For"} = \left(\frac{30}{50}\right) \times 100 = 0.6 \times 100 = 60\% \][/tex]

Therefore, the percentage of the 21-40 age group that was for the candidate is:
[tex]\[ \boxed{60} \][/tex]