sat suite question viewer

Problem-Solving and Data Analysis / Percentages Difficulty: Medium

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?

Back question 25 of 78 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

Explanation

Choice B is correct. It’s given that in a group, $40 percent sign$ of the items are red. It follows that the number of red items in the group can be represented by $0 period 4 x$ , where $x$ represents the total number of items in the group. It’s also given that of all the red items in the group, $30 percent sign$ also have stripes. It follows that the number of items in the group that are red and have stripes can be represented by $0 period 3 left parenthesis 0 period 4 x right parenthesis$ , or $0 period 12 x$ . The expression $0 period 12 x$ represents $12 percent sign$ of $x$ . Since $x$ represents the total number of items in the group, it follows that $12 percent sign$ of the items in the group are red and have stripes.

Choice A is incorrect and may result from subtracting $30 percent sign$ from $40 percent sign$ rather than calculating $30 percent sign$ of $40 percent sign$ .

Choice C is incorrect and may result from adding $30 percent sign$ and $40 percent sign$ rather than calculating $30 percent sign$ of $40 percent sign$ .

Choice D is incorrect and may result from calculating the percentage that $30 percent sign$ is of $40 percent sign$ rather than calculating $30 percent sign$ of $40 percent sign$ .