{"id":"agieval_sat:42f661b5677f1d4d9a90490b0273f2a4","source_id":"agieval_sat","source_item_id":"42f661b5677f1d4d9a90490b0273f2a4","external_id":"hails/agieval-sat-math","ibn":null,"question_id":null,"program":"SAT (pre-2016)","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?","stimulus":"","stimulus_html":null,"stem_html":"<p>Marisa needs to hire at least 10 staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $640 per week, and senior directors, who will be paid $880 per week. Her budget for paying the staff members is no more than $9,700 per week. She must hire at least 3 junior directors and at least 1 senior director. Which of the following systems of inequalities represents the conditions described if x is the number of junior directors and y is the number of senior directors?</p>","rationale_html":null,"correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>640 x+880 y &gt;= 9,700 x+y &lt;= 10 x &gt;= 3 y &gt;= 1</p>","ord":0},{"label":"B","content_html":"<p>640 x+880 y &lt;= 9,700 x+y &gt;= 10 x &gt;= 3 y &gt;= 1</p>","ord":1},{"label":"C","content_html":"<p>640 x+880 y &gt;= 9,700 x+y &gt;= 10 x &lt;= 3 y &lt;= 1</p>","ord":2},{"label":"D","content_html":"<p>640 x+880 y &lt;= 9,700 x+y &lt;= 10 x &lt;= 3 y &lt;= 1</p>","ord":3}],"attribution":{"source_id":"agieval_sat","source_name":"AGIEval SAT subsets (sat-math, sat-en)","rights_holder":"College Board (via the AGIEval benchmark)","canonical_url":"https://github.com/ruixiangcui/AGIEval","retrieved_from":"https://datasets-server.huggingface.co/rows","attribution":"Questions from the AGIEval benchmark's SAT subsets, derived from pre-2016 College Board SAT exams.","disclaimer":"These items follow the pre-2016 paper SAT format and do not reflect the current digital SAT. Useful as a benchmark set, not as current test preparation.","license":"Questions derived from pre-2016 College Board SAT exams and remain College Board copyright upstream. AGIEval is published for research.","redistributable":false,"item_count":425}}