Question after-
After of the original number of marbles in a group were removed from the group, marbles remained in the group. How many marbles were removed from the group?
After 20 % of the original number of marbles in a group were removed from the
Hard-difficulty · SAT Math · Percentages — Finding original amount from percent change. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It's given that of the original number of marbles were removed from the group. Let represent the original number of marbles in the group. It follows that , or , marbles were removed from the group. Therefore, marbles remained in the group. It's also given that marbles remained in the group. Thus, , or . Dividing both sides of this equation by yields . Substituting for in the expression yields , or . Therefore, marbles were removed from the group.
Choice A is incorrect. This is of the remaining number of marbles.
Choice C is incorrect. This is the original number of marbles, not the number of marbles that were removed.
Choice D is incorrect and may result from conceptual or calculation errors.
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