At a particular track meet, the ratio of coaches to athletes is 1 to 26. If there are x coaches at the track meet, which of the following expressions represents the number of athletes at the track meet?

Correct answer: B. 26x

  • A. x/26
  • B. 26x
  • C. x+26
  • D. 26/x

Explanation

The correct answer is 26x. The ratio of coaches to athletes is 1 to 26, meaning for every coach, there are 26 athletes. If there are x coaches, you multiply both sides of the ratio by x to maintain the ratio, resulting in x coaches and 26x athletes. The other options are incorrect because they do not maintain this ratio. x/26 implies fewer athletes than coaches, x+26 adds rather than multiplies, and 26/x suggests a division that is not relevant to finding the number of athletes.

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