{"id":"cb_question_bank:65b0028b-10fe-4525-ab7e-627e64f81f93","source_id":"cb_question_bank","source_item_id":"65b0028b-10fe-4525-ab7e-627e64f81f93","external_id":"b32d7197-2b76-4429-8221-4e5482d511ae","ibn":null,"question_id":"e21d10a7","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"One of a planet's moons orbits the planet every 252 days. A second moon orbits the planet every 287 days. How many more days does it take the second moon to orbit the planet 29 times than it takes the first moon to orbit the planet 29 times?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">One of a planet's moons orbits the planet every <math alttext=\"252\"><mn>252</mn>\n</math> days. A second moon orbits the planet every <math alttext=\"287\"><mn>287</mn>\n</math> days. How many more days does it take the second moon to orbit the planet <math alttext=\"29\"><mn>29</mn>\n</math> times than it takes the first moon to orbit the planet <math alttext=\"29\"><mn>29</mn>\n</math> times?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"1,015\"><mn>1,015</mn>\n</math>. It’s given that the first moon orbits the planet every <math alttext=\"252\"><mn>252</mn>\n</math> days. Therefore, it takes the first moon <math alttext=\"252 left parenthesis 29 right parenthesis\"><mn>252</mn><mfenced><mn>29</mn></mfenced></math>, or <math alttext=\"7,308\"><mn>7,308</mn>\n</math>,&nbsp;days to orbit the planet <math alttext=\"29\"><mn>29</mn>\n</math> times. It’s also given that the second moon orbits the planet every <math alttext=\"287\"><mn>287</mn>\n</math> days. Therefore, it takes the second moon <math alttext=\"287 left parenthesis 29 right parenthesis\"><mn>287</mn><mfenced><mn>29</mn></mfenced></math>, or <math alttext=\"8,323\"><mn>8,323</mn>\n</math>,&nbsp;days to orbit the planet <math alttext=\"29\"><mn>29</mn>\n</math> times. Since it takes the first moon <math alttext=\"7,308\"><mn>7,308</mn>\n</math> days and the second moon <math alttext=\"8,323\"><mn>8,323</mn>\n</math> days, it takes the second moon <math alttext=\"8,323 minus 7,308\"><mn>8,323</mn><mo>-</mo><mn>7,308</mn></math>, or <math alttext=\"1,015\"><mn>1,015</mn>\n</math>, more days than it takes the first moon to orbit the planet <math alttext=\"29\"><mn>29</mn>\n</math> times.</p>","correct_answer":["1015"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.829000+00:00","source_updated_at":"2023-08-02T20:25:59.829000+00:00","options":[],"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}}