The Reno Raiders are voting on which player should be their captain for the upcoming season. Brody received 1/3 of the votes. Darren received 50% as many votes as Brody. James received 3 times as many votes as Darren. Order the players by the proportion of votes that they received from least to greatest.

Question

22-02-2017
Mathematics

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The Reno Raiders are voting on which player should be their captain for the upcoming season. Brody received 1/3 of the votes. Darren received 50% as many votes as Brody. James received 3 times as many votes as Darren. Order the players by the proportion of votes that they received from least to greatest.

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taskmasters taskmasters · Answer 1 · 2017-03-07T13:40:14+01:00

If we let x be the number of votes then, Brody got x/3 votes from his teammates. Below are the calculation for Darren and James.
Darren = 0.5(x/3) = x/6
James = 3(x/6) = x/2
From the answers, x/3, x/6, and x/2, the least is x/6 followed by x/3, and finally x/2. In order of the persons who garnered the least to greatest votes, the answer would be
Darren, Brody, and James