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Answer :
To find the percentage of the 21-40 age group that was for the candidate, follow these steps:
1. Identify the number of people in the 21-40 age group who are for the candidate: This value is given directly in the table.
[tex]\[
\text{Number for the candidate (21-40 age group)} = 30
\][/tex]
2. Calculate the total number of people in the 21-40 age group: This is the sum of all individuals in that age group, including those who are for, against, and have no opinion.
[tex]\[
\text{Total number (21-40 age group)} = 30\ (\text{for}) + 12\ (\text{against}) + 8\ (\text{no opinion})
\][/tex]
3. Perform the actual addition to find the total:
[tex]\[
30 + 12 + 8 = 50
\][/tex]
4. Calculate the percentage of the 21-40 age group that supports the candidate: Use the formula for percentage:
[tex]\[
\text{Percentage for the candidate} = \left( \frac{\text{Number for the candidate}}{\text{Total number}} \right) \times 100
\][/tex]
5. Substitute the values into the formula:
[tex]\[
\text{Percentage for the candidate} = \left( \frac{30}{50} \right) \times 100 = 0.6 \times 100 = 60
\][/tex]
So, the percentage of the 21-40 age group that was for the candidate is [tex]\( 60\% \)[/tex].
The correct answer is [tex]\( 4) 60 \)[/tex].
1. Identify the number of people in the 21-40 age group who are for the candidate: This value is given directly in the table.
[tex]\[
\text{Number for the candidate (21-40 age group)} = 30
\][/tex]
2. Calculate the total number of people in the 21-40 age group: This is the sum of all individuals in that age group, including those who are for, against, and have no opinion.
[tex]\[
\text{Total number (21-40 age group)} = 30\ (\text{for}) + 12\ (\text{against}) + 8\ (\text{no opinion})
\][/tex]
3. Perform the actual addition to find the total:
[tex]\[
30 + 12 + 8 = 50
\][/tex]
4. Calculate the percentage of the 21-40 age group that supports the candidate: Use the formula for percentage:
[tex]\[
\text{Percentage for the candidate} = \left( \frac{\text{Number for the candidate}}{\text{Total number}} \right) \times 100
\][/tex]
5. Substitute the values into the formula:
[tex]\[
\text{Percentage for the candidate} = \left( \frac{30}{50} \right) \times 100 = 0.6 \times 100 = 60
\][/tex]
So, the percentage of the 21-40 age group that was for the candidate is [tex]\( 60\% \)[/tex].
The correct answer is [tex]\( 4) 60 \)[/tex].
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