Question the-po
The positive number is of the sum of the positive numbers and , and is of . What percent of is ?
The positive number a is 2,241 % of the sum of the positive numbers b and
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 is of the sum of and . This can be represented by the equation , or . It’s also given that that is of . This can be represented by the equation , or . Dividing both sides of this equation by yields . Substituting for in the equation yields , or , which is equivalent to , or . This equation is equivalent to ; therefore, is of .
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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