Question at-a-p
At a particular track meet, the ratio of coaches to athletes is to . If there are coaches at the track meet, which of the following expressions represents the number of athletes at the track meet?
At a particular track meet, the ratio of coaches to athletes is 1 to 26 .
Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Word problems with proportional reasoning. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It’s given that at a particular track meet, the ratio of coaches to athletes is to . 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 coaches at the track meet, multiplying both numbers in the ratio by yields to , or to . Therefore, the expression 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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