At a particular track meet, the ratio of coaches to athletes is 1 to 26 . If there are x

Question

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?

A.

$StartFraction x Over 26 EndFraction$

B.

$26 x$

C.

$x plus 26$

D.

$StartFraction 26 Over x EndFraction$

Accepted Answer

Choice B is correct. It&rsquo;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 x to 26 x , 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.

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