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Grace can purchase pencils for $n per 100 pencils for the first 1,500 pencils and $n per 100 pencils for each additional 100 pencils thereafter.

The table shows the results of a poll of 400 voters after a school board election in which four candidates were running. If 28,000 voted in the election and the votes were distributed among the candidates in the same proportion as in this poll, how many voted for Candidate B?

Rationale

Candidate B received 16,500 votes in the election.

To find the number of votes Candidate B received, we need to determine the proportion of votes they received in the poll and apply that proportion to the total votes cast in the election.

A (16,200) YOUR ANSWER

This option suggests that Candidate B received 16,200 votes. To arrive at this number would imply a lower percentage of the total votes based on the poll results, which does not match the calculated proportion derived from the 400 voters surveyed.

B (16,500) CORRECT

This is the correct choice. Candidate B's proportion from the poll indicates they received a specific percentage of the total votes. When this percentage is applied to the total of 28,000 votes, it results in 16,500 votes for Candidate B, representing their fair share based on the polling data.

C (16,800) YOUR ANSWER

This option indicates that Candidate B received 16,800 votes, which is higher than the correct calculation based on the survey results. This would suggest an inflated percentage of support that does not align with the data collected from the 400 voters.

D (17,200) YOUR ANSWER

Choosing 17,200 votes for Candidate B implies an even greater percentage of the votes than calculated from the poll. This number exceeds the expected total based on their representation in the surveyed group, leading to an inaccurate conclusion about their support.

Conclusion

The analysis of the poll results enables us to project the number of votes each candidate received in the election accurately. Candidate B's calculated share of 16,500 votes aligns perfectly with the proportions derived from the survey, ensuring that the results reflect the voters' preferences fairly. The other options represent miscalculations and do not adhere to the established proportions based on the initial poll.

The table shows the results of a poll of 400 voters after a school board election in which four candidates were running. If 28,000 voted in the election and the votes were distributed among the candidates in the same proportion as in this poll, how many voted for Candidate B?

Candidate B received 16,500 votes in the election.

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