In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?

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Accepted Answer

Key Explanation: Choice B is correct. It’s given that in a group, 40% of the items are red. It follows that the number of red items in the group can be represented by 0.4x, where x represents the total number of items in the group. It’s also given that of all the red items in the group, 30% also have stripes. It follows that the number of items in the group that are red and have stripes can be represented by 0.3(0.4x), or 0.12x. The expression 0.12x represents 12% of x. Since x represents the total number of items in the group, it follows that 12% of the items in the group are red and have stripes. Distractor Explanations: Choice A is incorrect and may result from subtracting 30% from 40% rather than calculating 30% of 40%. Choice C is incorrect and may result from adding 30% and 40% rather than calculating 30% of 40%. Choice D is incorrect and may result from calculating the percentage that 30% is of 40% rather than calculating 30% of 40%.

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