{"id":"cb_question_bank:fbfdcff3-186d-4a1d-becb-d1532467e10e","source_id":"cb_question_bank","source_item_id":"fbfdcff3-186d-4a1d-becb-d1532467e10e","external_id":"ed19c902-acac-433c-b8f5-c8cd07c4e16d","ibn":null,"question_id":"8c515062","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A candle is made of 17 ounces of wax. When the candle is burning, the amount of wax in the candle decreases by 1 ounce every 4 hours. If 6 ounces of wax remain in this candle, for how many hours has it been burning?","stimulus":"","stimulus_html":null,"stem_html":"<p>A candle is made of <math alttext=\"17\"><mn>17</mn>\n</math> ounces of wax. When the candle is burning, the amount of wax in the candle decreases by <math alttext=\"1\"><mn>1</mn>\n</math> ounce every <math alttext=\"4\"><mn>4</mn>\n</math> hours. If <math alttext=\"6\"><mn>6</mn>\n</math> ounces of wax remain in this candle, for how many hours has it been burning?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. It’s given that the candle starts with <math alttext=\"17\"><mn>17</mn>\n</math> ounces of wax and has <math alttext=\"6\"><mn>6</mn>\n</math> ounces of wax remaining after a period of time has passed. The amount of wax the candle has lost during the time period can be found by subtracting the remaining amount of wax from the amount of wax the candle was made of, which yields <math alttext=\"17 minus 6\"><mn>17</mn><mo>-</mo><mn>6</mn></math> ounces, or <math alttext=\"11\"><mn>11</mn>\n</math> ounces. This means the candle loses <math alttext=\"11\"><mn>11</mn>\n</math> ounces of wax during that period of time. It’s given that the amount of wax decreases by <math alttext=\"1\"><mn>1</mn>\n</math> ounce every <math alttext=\"4\"><mn>4</mn>\n</math> hours. If <math alttext=\"h\"><mi>h</mi>\n</math> represents the number of hours the candle has been burning, it follows that <math alttext=\"one fourth equals StartFraction 11 Over h EndFraction\"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>11</mn><mi>h</mi></mfrac></math>. Multiplying both sides of this equation by <math alttext=\"4 h\"><mrow>\n\t<mn>4</mn>\n\t<mi>h</mi>\n</mrow>\n</math> yields <math alttext=\"h equals 44\"><mrow>\n\t<mi>h</mi>\n\t<mo>=</mo>\n\t<mn>44</mn>\n</mrow>\n</math>. Therefore, the candle has been burning for <math alttext=\"44\"><mn>44</mn>\n</math> hours.&nbsp;</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from using the equation <math alttext=\"one fourth equals StartFraction h Over 11 EndFraction\"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mi>h</mi><mn>11</mn></mfrac></math> rather than&nbsp;<math alttext=\"one fourth equals StartFraction 11 Over h EndFraction\"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>11</mn><mi>h</mi></mfrac></math> to represent the situation, and then rounding to the nearest whole number.&nbsp;</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the amount of wax, in ounces, remaining in the candle, not the number of hours it has been burning.&nbsp;</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from using the equation&nbsp;<math alttext=\"one fourth equals StartFraction 6 Over h EndFraction\"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>6</mn><mi>h</mi></mfrac></math> rather than&nbsp;<math alttext=\"one fourth equals StartFraction 11 Over h EndFraction\"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>11</mn><mi>h</mi></mfrac></math> to represent the situation.&nbsp;</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.808000+00:00","source_updated_at":"2023-08-02T20:25:59.808000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"3\"><mn>3</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"6\"><mn>6</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"24\"><mn>24</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"44\"><mn>44</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}}