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Problem-Solving and Data Analysis Difficulty: Medium

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?

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Explanation

Choice B is correct. It’s given that at a particular track meet, the ratio of coaches to athletes is $1$ to $26$ . If one number in a ratio is multiplied by a value, the other number must be multiplied by the same value in order to maintain the same ratio. If there are $x$ coaches at the track meet, multiplying both numbers in the ratio by $x$ yields $1 left parenthesis x right parenthesis$ to $26 left parenthesis x right parenthesis$ , or $x$ to $26 x$ . Therefore, the expression $26 x$ represents the number of athletes at the track meet.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.