Question the-ra
The ratio of t to u is 1 to 2, and 
. What is the value of u ?
2
5
10
20
The ratio of t to u is 1 to 2, and . What is the value
Medium-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 D is correct. It’s given that the ratio of t to u is 1 to 2. Since , 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 
. Multiplying both sides of this equation by 2 and then by u yields 
.
Choice A is incorrect. This is the value of u when 
. 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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