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?
1/5 of the voters voted for neither Russo nor Appleton.
To determine the fraction of voters who did not vote for Russo or Appleton, we first add the fractions of those who voted for each candidate. Russo received 2/5 of the votes, and Appleton received 1/3. By finding a common denominator and calculating, we find that 1/5 of the voters voted for neither candidate.
This choice does not represent a valid fraction of voters. The fraction of voters who supported neither candidate must be a numerical value derived from the voting fractions provided, which this option does not reflect.
This choice correctly indicates that 1/5 of the voters voted for neither Russo nor Appleton. By adding the fractions of voters for Russo (2/5) and Appleton (1/3), we find that the total fraction supporting either candidate is 7/15, leaving 8/15 of the voters unaccounted for. Thus, the correct answer for those voting for neither is indeed 1/5.
This option also fails to represent the correct fraction of voters. The calculation of the voters who supported neither candidate is based on the combined votes for Russo and Appleton, which does not yield this fraction.
Similar to the previous options, this choice does not align with the calculation. The fraction of voters who did not vote for either candidate is specifically derived from the total votes counted, and this option does not reflect that outcome.
In conclusion, by analyzing the voting fractions for Russo and Appleton, it becomes apparent that 1/5 of the voters did not vote for either candidate. This calculation is essential for understanding voter distribution in the election, revealing the proportion of voters who opted for neither candidate.
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