Praxis 5511 Practice Question

In an election each person voted for one of three candidates, Russo, Appleton, and Carlton. If 2/5 of the voters voted for Russo and 1/3 voted for Appleton, what fraction of the voters voted for neither Russo nor Appleton?

Correct Answer: B

Rationale: To determine the fraction of voters who supported neither Russo nor Appleton, first calculate the total fraction of voters who voted for these two candidates. Russo received 2/5 of the votes, while Appleton received 1/3. To add these fractions, find a common denominator, which is 15. Thus, Russo's votes convert to 6/15 and Appleton's to 5/15. Adding these gives 11/15 of voters supporting either Russo or Appleton. Therefore, the fraction of voters who voted for neither candidate is 1 - 11/15 = 4/15.

Option A (1/5) underestimates the votes for neither candidate. Option C (1/3) is incorrect as it does not account for the actual votes cast. Option D (2/5) misrepresents the total votes for both candidates.

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