{"id":"cb_question_bank:97fe0864-941b-42ec-854a-281701c0b8c5","source_id":"cb_question_bank","source_item_id":"97fe0864-941b-42ec-854a-281701c0b8c5","external_id":"f0db62a7-74c8-4e51-91dd-8c8b80649a49","ibn":null,"question_id":"ece00725","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.D.","skill":"Systems of two 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":"Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of dollar sign 25.00 . Which system of equations represents this situation?","stimulus":"","stimulus_html":null,"stem_html":"

Connor has c\n dollars and Maria has m\n dollars. Connor has 4\n times as many dollars as Maria, and together they have a total of $25.00\n. Which system of equations represents this situation?

","rationale_html":"

Choice A is correct. It’s given that Connor has c\n dollars, Maria has m\n dollars, and Connor has 4\n times as many dollars as Maria. This can be represented by the equation \n\tc\n\t=\n\t\n\t\t4\n\t\tm\n\t\n\n. It’s also given that together, Connor and Maria have a total of $25.00, which can be represented by the equation c+m=25. Therefore, the system consisting of the equations \n\tc\n\t=\n\t\n\t\t4\n\t\tm\n\t\n\n and c+m=25 represents this situation.

\n

Choice B is incorrect. The equation \n\tm\n\t=\n\t\n\t\t4\n\t\tc\n\t\n\n represents a situation where Maria has 4\n times as many dollars as Connor, rather than the situation where Connor has 4\n times as many dollars as Maria.

\n

Choice C is incorrect. The equation \n\tc\n\t=\n\t\n\t\t25\n\t\tm\n\t\n\n represents a situation where Connor has 25\n times, rather than 4\n times, as many dollars as Maria. The equation c+m=4 represents a situation where Connor and Maria together have a total of $4.00, rather than $25.00.

\n

Choice D is incorrect. The equation \n\tm\n\t=\n\t\n\t\t25\n\t\tc\n\t\n\n represents a situation where Maria has 25\n times as many dollars as Connor, rather than the situation where Connor has 4\n times as many dollars as Maria. The equation c+m=4 represents a situation where Connor and Maria together have a total of $4.00, rather than $25.00.

","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.817000+00:00","source_updated_at":"2023-08-02T20:25:59.817000+00:00","options":[{"label":"A","content_html":"

c=4m

\n

c+m=25

","ord":0},{"label":"B","content_html":"

m=4c

\n

c+m=25

","ord":1},{"label":"C","content_html":"

c=25m

\n

c+m=4

","ord":2},{"label":"D","content_html":"

m=25c

\n

c+m=4

","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}}