{"id":"cb_question_bank:8c91c309-071d-404c-bfd6-4deb9c6f83ea","source_id":"cb_question_bank","source_item_id":"8c91c309-071d-404c-bfd6-4deb9c6f83ea","external_id":"b90e5782-c428-473b-8c51-a587d2c330b9","ibn":null,"question_id":"8cbf1415","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"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?","stimulus":"","stimulus_html":null,"stem_html":"<p>In a group, <math><mn>40</mn>\n</math>% of the items are red. Of all the red items in the group, <math><mn>30</mn>\n</math>% also have stripes. What percentage of the items in the group are red with stripes?</p>","rationale_html":"<p>Choice B is correct. It’s given that in a group,&nbsp;<math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> of the items are red. It follows that the number of red items in the group can be represented by&nbsp;<math alttext=\"0 period 4 x\"><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi></math>, where <math alttext=\"x\"><mi>x</mi>\n</math> represents the total number of items in the group. It’s also given that of all the red items in the group, <math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> also have stripes. It follows that the number of items in the group that are red and have stripes can be represented by&nbsp;<math alttext=\"0 period 3 left parenthesis 0 period 4 x right parenthesis\"><mn>0</mn><mo>.</mo><mn>3</mn><mfenced><mrow><mn>0</mn><mo>.</mo><mn>4</mn><mi>x</mi></mrow></mfenced></math>, or&nbsp;<math alttext=\"0 period 12 x\"><mn>0</mn><mo>.</mo><mn>12</mn><mi>x</mi></math>. The expression <math alttext=\"0 period 12 x\"><mn>0</mn><mo>.</mo><mn>12</mn><mi>x</mi></math> represents&nbsp;<math alttext=\"12 percent sign\"><mn>12</mn><mo>%</mo></math> of <math alttext=\"x\"><mi>x</mi>\n</math>. Since <math alttext=\"x\"><mi>x</mi>\n</math> represents the total number of items in the group, it follows that&nbsp;<math alttext=\"12 percent sign\"><mn>12</mn><mo>%</mo></math> of the items in the group are red and have stripes.</p>\n<p>Choice A is incorrect and may result from subtracting&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> from&nbsp;<math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> rather than calculating&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> of <math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math>.</p>\n<p>Choice C is incorrect and may result from adding&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> and&nbsp;<math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> rather than calculating&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> of <math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math>.</p>\n<p>Choice D is incorrect and may result from calculating the percentage that&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> is of&nbsp;<math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> rather than calculating&nbsp;<math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> of <math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math>.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.831000+00:00","source_updated_at":"2023-08-02T20:25:59.831000+00:00","options":[{"label":"A","content_html":"<p><math><mn>10</mn>\n</math>%</p>","ord":0},{"label":"B","content_html":"<p><math><mn>12</mn>\n</math>%</p>","ord":1},{"label":"C","content_html":"<p><math><mn>70</mn>\n</math>%</p>","ord":2},{"label":"D","content_html":"<p><math><mn>75</mn>\n</math>%</p>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}