{"id":"cb_question_bank:087ac429-b4e9-4710-ba68-44de3444c68c","source_id":"cb_question_bank","source_item_id":"087ac429-b4e9-4710-ba68-44de3444c68c","external_id":null,"ibn":"04778-DC","question_id":"65c49824","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?</p>\n","rationale_html":"<p>The correct answer is 8. The 6 students represent <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d5d532888b22c65e5a306a36cc0d68e3b752a3df8f82635e4e5e926343267d70\" alt=\"open parenthesis, 100 minus 15, minus 45, minus 25, close parenthesis, percent, equals 15 percent\"></span> of those invited to join the committee. If <span class=\"italic\">x</span> people were invited to join the committee, then <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8e5f842a542bf64d67a42a64c0d9a2a6f45279010b193ec7279d94cd6a938e54\" alt=\"0 point 1 5 x, equals 6\"></span>. Thus, there were <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/535ddafead9aa4131f5dddb9868a0dbe35d00ec8b561ec5c5a1479f514dcca16\" alt=\"6 over, 0 point 1 5, equals 40\"></span> people invited to join the committee. It follows that there were <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/eae6af494ab8d4317bc6c02778293b589957f6e7d44d68c201ae5ab87ecc4b05\" alt=\"0 point 4 5 times 40, equals 18\"></span> teachers and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/945e05912ed192375fd77403dc08bbea3bc4955361a708a0ad7a7a863fa2e5d3\" alt=\"0 point 2 5 times 40, equals 10 \"></span> school and district administrators invited to join the committee. Therefore, there were 8 more teachers than school and district administrators invited to join the committee.</p>\n","correct_answer":["8"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.628000+00:00","source_updated_at":"2023-08-02T20:25:59.628000+00:00","options":[],"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}}