{"id":"cb_question_bank:0cfcbba4-6b23-45e4-90d4-d9ed3a4e5352","source_id":"cb_question_bank","source_item_id":"0cfcbba4-6b23-45e4-90d4-d9ed3a4e5352","external_id":"0b8822c0-8322-4969-8780-d3d067076d46","ibn":null,"question_id":"ee846db7","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation 5.48 x plus 7.30 y equals 1,277.94 represents this situation, where x is the number of smaller containers sold and y is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled <math alttext=\"1,277.94\"><mn>1,277.94</mn>\n</math> dollars last month. The equation <math alttext=\"5.48 x plus 7.30 y equals 1,277.94\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>5.48</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mrow>\n\t\t\t<mn>7.30</mn>\n\t\t\t<mi>y</mi>\n\t\t</mrow>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>1,277.94</mn>\n</mrow>\n</math> represents this situation, where <math alttext=\"x\"><mi>x</mi>\n</math> is the number of smaller containers sold and <math alttext=\"y\"><mi>y</mi>\n</math> is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It's given that the store's sales of a certain Greek yogurt totaled <math alttext=\"1,277.94\"><mn>1,277.94</mn>\n</math> dollars last month. It's also given that the equation <math alttext=\"5.48 x plus 7.30 y equals 1,277.94\"><mn>5.48</mn><mi>x</mi><mo>+</mo><mn>7.30</mn><mi>y</mi><mo>=</mo><mn>1,277.94</mn></math> represents this situation, where <math alttext=\"x\"><mi>x</mi>\n</math> is the number of smaller containers sold and <math alttext=\"y\"><mi>y</mi>\n</math> is the number of larger containers sold. Since <math alttext=\"x\"><mi>x</mi>\n</math> represents the number of smaller containers of yogurt sold, the expression <math alttext=\"5.48 x\"><mrow>\n\t<mn>5.48</mn>\n\t<mi>x</mi>\n</mrow>\n</math> represents the total sales, in dollars, from smaller containers of yogurt. This means that <math alttext=\"x\"><mi>x</mi>\n</math> smaller containers of yogurt were sold at a price of <math alttext=\"5.48\"><mn>5.48</mn>\n</math> dollars each. Therefore, according to the equation, <math alttext=\"5.48\"><mn>5.48</mn>\n</math> represents the price, in dollars, of each smaller container.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This expression represents the total sales, in dollars, from selling <math alttext=\"y\"><mi>y</mi>\n</math> larger containers of yogurt.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This value represents the price, in dollars, of each larger container of yogurt.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This expression represents the total sales, in dollars, from selling <math alttext=\"x\"><mi>x</mi>\n</math> smaller containers of yogurt.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.814000+00:00","source_updated_at":"2023-08-02T20:25:59.814000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"5.48\"><mn>5.48</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"7.30 y\"><mrow>\n\t<mn>7.30</mn>\n\t<mi>y</mi>\n</mrow>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"7.30\"><mn>7.30</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"5.48 x\"><mrow>\n\t<mn>5.48</mn>\n\t<mi>x</mi>\n</mrow>\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}}