In a group, 40 % of the items are red. Of all the red items in the group, 30 %

Question

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 with stripes?

Accepted Answer

Choice B is correct. It&rsquo;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 . 4 x , where x represents the total number of items in the group. It&rsquo;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 . 4 x , or 0 . 12 x . The expression 0 . 12 x 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. 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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