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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

The ratio of t to u is 1 to 2, and t equals 10. What is the value of u ?

ExplanationShow

Choice D is correct. It’s given that the ratio of t to u is 1 to 2. Since t equals 10, it follows that the ratio of 10 to u is also 1 to 2. The relationship between these ratios can be represented by the proportion 10 over u, equals one half. Multiplying both sides of this equation by 2 and then by u yields 20 equals u.

Choice A is incorrect. This is the value of u when t equals 1. Choice B is incorrect. This would be the value of u if the ratio of t to u were 2 to 1. Choice C is incorrect. This is the value of t, not u.

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