Question in-200
In , Zinah earned more than in , and in Zinah earned more than in . If Zinah earned times as much in as in , what is the value of ?
In 2008 , Zinah earned 14 % more than in 2007 , and in 2009 Zinah
Hard-difficulty · SAT Math · Percentages — Successive percent changes. 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 in Zinah earned more than in . Let represent the amount Zinah earned in and let represent the amount that Zinah earned in . This situation can be represented by the equation , or . It’s also given that in Zinah earned more than in . Let represent the amount Zinah earned in . This situation can be represented by the equation , or . Substituting for in the equation yields , or . If Zinah earned times as much in as in , then the value of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
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