{"id":"cb_question_bank:25b6282e-13d7-4a65-a935-4886cae19b09","source_id":"cb_question_bank","source_item_id":"25b6282e-13d7-4a65-a935-4886cae19b09","external_id":"e06a745d-b077-48ee-8763-fdfcd713b268","ibn":null,"question_id":"e9fb7774","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What percentage of 300 is 75 ?","stimulus":"","stimulus_html":null,"stem_html":"<p>What percentage of <math alttext=\"300\"><mn>300</mn>\n</math> is <math alttext=\"75\"><mn>75</mn>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. Let <math alttext=\"x\"><mi>x</mi>\n</math> represent the percentage of <math alttext=\"300\"><mn>300</mn>\n</math> that is <math alttext=\"75\"><mn>75</mn>\n</math>. This can be written as <math alttext=\"StartFraction x Over 100 EndFraction left parenthesis 300 right parenthesis equals 75\"><mfrac><mi>x</mi><mn>100</mn></mfrac><mfenced><mn>300</mn></mfenced><mo>=</mo><mn>75</mn></math>, or <math alttext=\"3 x equals 75\"><mrow>\n\t<mrow>\n\t\t<mn>3</mn>\n\t\t<mi>x</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>75</mn>\n</mrow>\n</math>. Dividing both sides of this equation by <math alttext=\"3\"><mn>3</mn>\n</math> yields <math alttext=\"x equals 25\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>25</mn>\n</mrow>\n</math>. Therefore, <math alttext=\"25 percent sign\"><mn>25</mn><mo>%</mo></math> of <math alttext=\"300\"><mn>300</mn>\n</math> is <math alttext=\"75\"><mn>75</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. <math alttext=\"50 percent sign\"><mn>50</mn><mo>%</mo></math> of <math alttext=\"300\"><mn>300</mn>\n</math> is <math alttext=\"150\"><mn>150</mn>\n</math>, not <math alttext=\"75\"><mn>75</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. <math alttext=\"75 percent sign\"><mn>75</mn><mo>%</mo></math> of <math alttext=\"300\"><mn>300</mn>\n</math> is <math alttext=\"225\"><mn>225</mn>\n</math>, not <math alttext=\"75\"><mn>75</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. <math alttext=\"225 percent sign\"><mn>225</mn><mo>%</mo></math> of <math alttext=\"300\"><mn>300</mn>\n</math> is <math alttext=\"675\"><mn>675</mn>\n</math>, not <math alttext=\"75\"><mn>75</mn>\n</math>.</p>","correct_answer":["A"],"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 alttext=\"25 percent sign\"><mn>25</mn>\n<mo>%</mo></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"50 percent sign\"><mn>50</mn>\n<mo>%</mo></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"75 percent sign\"><mn>75</mn>\n<mo>%</mo></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"225 percent sign\"><mn>225</mn>\n<mo>%</mo></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}}