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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Easy

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

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Explanation

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.