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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

If a, b, and c are numbers such that a over b = 3 and b over c = 7, then (a+b) over (b+c) is equal to which of the following?

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Right! (Applause.)


From a over b = 3 is implied that (a+b) over b = 4 (1)

And from b over c = 7 is implied that b over (b+c) = 7 over 8 (2)

If we multiply (1) and (2) together, we have that (a+b) over (b+c) = 4 times (7 over 8) = 7 over 2 ( b is canceled out).

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