{"@context":"https://schema.org/","@type":"Quiz","name":"

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?

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-problem-solving-and-data-analysis-multiple-choice-question-95"}],"about":{"@type":"Thing","name":"Math, Problem-Solving and Data Analysis, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Problem-Solving and Data Analysis","Duplicate"],"name":"

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?

","comment":{"@type":"Comment","text":"

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 $0.30 \\cdot 4x$, 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.

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%.

"},"encodingFormat":"text/markdown","text":"

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?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

10%

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

70%

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

75%

"}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

12%

","comment":{"@type":"Comment","text":"

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%.

"},"answerExplanation":{"@type":"Comment","text":"

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%.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-problem-solving-and-data-analysis-multiple-choice-question-95"}