{"id":"cb_question_bank:60124e4f-8d00-466a-ad8f-326993627a9d","source_id":"cb_question_bank","source_item_id":"60124e4f-8d00-466a-ad8f-326993627a9d","external_id":"a44626e2-3239-48f1-90f6-145e3b8b2c54","ibn":null,"question_id":"cc7ffe02","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Keenan made 32 cups of vegetable broth. Keenan then filled x small jars and y large jars with all the vegetable broth he made. The equation 3 x plus 5 y equals 32 represents this situation. Which is the best interpretation of 5 y in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Keenan made <math alttext=\"32\"><mn>32</mn>\n</math> cups of vegetable broth. Keenan then filled <math alttext=\"x\"><mi>x</mi>\n</math> small jars and <math alttext=\"y\"><mi>y</mi>\n</math> large jars with all the vegetable broth he made. The equation&nbsp;<math alttext=\"3 x plus 5 y equals 32\"><mn>3</mn><mi>x</mi><mo>+</mo><mn>5</mn><mi>y</mi><mo>=</mo><mn>32</mn></math> represents this situation. Which is the best interpretation of <math alttext=\"5 y\"><mrow>\n\t<mn>5</mn>\n\t<mi>y</mi>\n</mrow>\n</math> in this context?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. It’s given that the equation <math alttext=\"3 x plus 5 y equals 32\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>3</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>5</mn>\n\t\t\t<mi>y</mi>\n\t\t</mrow>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>32</mn>\n</mrow>\n</math> represents the situation where Keenan filled <math alttext=\"x\"><mi>x</mi>\n</math> small jars and <math alttext=\"y\"><mi>y</mi>\n</math> large jars with all the vegetable broth he made, which was <math alttext=\"32\"><mn>32</mn>\n</math> cups. Therefore, <math alttext=\"3 x\"><mrow>\n\t<mn>3</mn>\n\t<mi>x</mi>\n</mrow>\n</math> represents the total number of cups of vegetable broth in the small jars and <math alttext=\"5 y\"><mrow>\n\t<mn>5</mn>\n\t<mi>y</mi>\n</mrow>\n</math> represents the total number of cups of vegetable broth in the large jars.&nbsp;</p>\n<p>Choice A is incorrect. The number of large jars Keenan filled is represented by <math alttext=\"y\"><mi>y</mi>\n</math>, not <math alttext=\"5 y\"><mrow>\n\t<mn>5</mn>\n\t<mi>y</mi>\n</mrow>\n</math>.</p>\n<p>Choice B is incorrect. The number of small jars Keenan filled is represented by <math alttext=\"x\"><mi>x</mi>\n</math>, not <math alttext=\"5 y\"><mrow>\n\t<mn>5</mn>\n\t<mi>y</mi>\n</mrow>\n</math>.</p>\n<p>Choice D is incorrect. The total number of cups of vegetable broth in the small jars is represented by <math alttext=\"3 x\"><mrow>\n\t<mn>3</mn>\n\t<mi>x</mi>\n</mrow>\n</math>, not <math alttext=\"5 y\"><mrow>\n\t<mn>5</mn>\n\t<mi>y</mi>\n</mrow>\n</math>.&nbsp;</p>","correct_answer":["C"],"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 style=\"text-align: left;\">The number of large jars Keenan filled</p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\">The number of small jars Keenan filled</p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\">The total number of cups of vegetable broth in the large jars</p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\">The total number of cups of vegetable broth in the small jars</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}}