{"id":"cb_question_bank:c0e07a41-567a-4e62-9002-995dade09caf","source_id":"cb_question_bank","source_item_id":"c0e07a41-567a-4e62-9002-995dade09caf","external_id":"e9060623-fc35-41b6-8e81-702b67a6dc3c","ibn":null,"question_id":"c8e0f511","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"For a camping trip a group bought x one-liter bottles of water and y three-liter bottles of water, for a total of 240 liters of water. Which equation represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">For a camping trip a group bought <math alttext=\"x\"><mi>x</mi>\n</math> one-liter bottles of water and <math alttext=\"y\"><mi>y</mi>\n</math> three-liter bottles of water, for a total of <math alttext=\"240\"><mn>240</mn>\n</math> liters of water. Which equation represents this situation?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It's given that for a camping trip a group bought <math alttext=\"x\"><mi>x</mi>\n</math> one-liter bottles of water and <math alttext=\"y\"><mi>y</mi>\n</math> three-liter bottles of water. Since the group bought <math alttext=\"x\"><mi>x</mi>\n</math> one-liter bottles of water, the total number of liters bought from <math alttext=\"x\"><mi>x</mi>\n</math> one-liter bottles of water is represented as <math alttext=\"1 x\"><mn>1</mn><mi>x</mi></math>, or <math alttext=\"x\"><mi>x</mi>\n</math>. Since the group bought <math alttext=\"y\"><mi>y</mi>\n</math> three-liter bottles of water, the total number of liters bought from <math alttext=\"y\"><mi>y</mi>\n</math> three-liter bottles of water is represented as <math alttext=\"3 y\"><mrow>\n\t<mn>3</mn>\n\t<mi>y</mi>\n</mrow>\n</math>. It's given that the group bought a total of <math alttext=\"240\"><mn>240</mn>\n</math> liters; thus, the equation <math alttext=\"x plus 3 y equals 240\"><mrow>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>+</mo>\n\t\t<mrow>\n\t\t\t<mn>3</mn>\n\t\t\t<mi>y</mi>\n\t\t</mrow>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>240</mn>\n</mrow>\n</math> represents this situation.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This equation represents a situation where the group bought <math alttext=\"x\"><mi>x</mi>\n</math> three-liter bottles of water and <math alttext=\"y\"><mi>y</mi>\n</math> one-liter bottles of water, for a total of <math alttext=\"240\"><mn>240</mn>\n</math> liters of water.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.813000+00:00","source_updated_at":"2023-08-02T20:25:59.813000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"x plus 3 y equals 240\"><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>240</mn></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"x plus y equals 240\"><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>240</mn></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3 x plus 3 y equals 240\"><mn>3</mn><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>240</mn></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"3 x plus y equals 240\"><mn>3</mn><mi>x</mi><mo>+</mo><mi>y</mi><mo>=</mo><mn>240</mn></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}}