{"id":"cb_question_bank:601435b2-93df-4fc6-a3d8-d4226f79fc0d","source_id":"cb_question_bank","source_item_id":"601435b2-93df-4fc6-a3d8-d4226f79fc0d","external_id":null,"ibn":"031617-DC","question_id":"8e2e424e","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":"The number k is 36% greater than 50. If k is the product of 50 and r , what is the value of r ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The number <span class=\"italic\">k</span> is 36% greater than 50. If <span class=\"italic\">k</span> is the product of 50 and <span class=\"italic\">r</span>, what is the value of <span class=\"italic\">r&nbsp;</span>?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that the number <span class=\"italic\">k</span> is 36% greater than 50. Therefore, the value of <span class=\"italic\">k</span> is the number 50 plus 36% of 50. This can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7e59803a0c28b3204e3404c92d5f98cb6d53a3966836793f009880c09d3f99f7\" alt=\"k equals, 50 plus, the fraction 36 over 100, end fraction, times 50\"></span>. Multiplying the terms <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/97c6558e8d7abf046179ac809fa3134d44d9ae9cb355e3d7e373adcb6e3ba3ad\" alt=\"the fraction 36 over 100, end fraction, times 50\"></span> yields 18, so <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/58466bd416e9acc80cdaf693e90fe09344ef49d4cf1eef01fa8a1a92d671c397\" alt=\"k equals, 50 plus 18\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/493e75dfd03fb85b53a21078d97ca3785fdbff1aaacd62e8d78150d9f2b0143b\" alt=\"k equals 68\"></span>. It’s also given that <span class=\"italic\">k</span> is the product of 50 and <span class=\"italic\">r</span>, which can be rewritten as <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4d212b2b665035c17881f905ac441e90150cb0319222ecd647a3ead9888a2f0a\" alt=\"k equals 50 r\"></span>. Substituting 68 for <span class=\"italic\">k</span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/eb0144cb411ba317100cd3938c008d8f85935096e9764db1a9778ecc60a90ab3\" alt=\"68 equals 50 r\"></span>. Dividing both sides of this equation by 50 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4a979df38df475cae901ada78cd5c2148ef25d3fc38dfa07a69f9a84aa212301\" alt=\"r equals 1 point 3 6\"></span>.</p><p>Choice A is incorrect. This is the percentage that <span class=\"italic\">k</span> is greater than 50. Choice B is incorrect and may result from a calculation error. Choice D is incorrect. This would be the value of <span class=\"italic\">r</span> if <span class=\"italic\">k</span> were 36% of 50, instead of 36% greater than 50.</p><p>&nbsp;</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.626000+00:00","source_updated_at":"2023-08-02T20:25:59.626000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">36</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">3.6</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">1.36</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">0.36</p>\n","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}}