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  3. Compare Quantity A and Quantity B, using additional information centered above t

Compare Quantity A and Quantity B, using additional information centered above t

游客2024-01-12  64
问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question. [br] Points R, S, and T lie on a number line, where S is between R and T. The distance between R and S is 6, and the distance between R and T is 15.
选项
答案 B
解析 The figure below shows points R, S, and T on the number line.

From the figure, you can see that the distance between S and T is 15-6, or 9, which is Quantity B. You can also see that Quantity A, the distance between the midpoints of line segments RS and ST, is equal to one-half of the distance between R and S plus one-half of the distance between S and T. So Quantity A is, or 7.5. Since 7.5 is less than 9, the correct answer is Choice B.
This explanation uses the following strategy.
Strategy 2: Translate from Words to a Figure or Diagram
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