Question in-a-g
In a group, % of the items are red. Of all the red items in the group, % also have stripes. What percentage of the items in the group are red with stripes?
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In a group, 40 % of the items are red. Of all the red items in
Hard-difficulty · SAT Math · Percentages — Percent calculations. 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 in a group, of the items are red. It follows that the number of red items in the group can be represented by , where represents the total number of items in the group. It’s also given that of all the red items in the group, also have stripes. It follows that the number of items in the group that are red and have stripes can be represented by , or . The expression represents of . Since represents the total number of items in the group, it follows that of the items in the group are red and have stripes.
Choice A is incorrect and may result from subtracting from rather than calculating of .
Choice C is incorrect and may result from adding and rather than calculating of .
Choice D is incorrect and may result from calculating the percentage that is of rather than calculating of .
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