{"id":"aqua_rat:10db070084b8e21d66ab8c6a314ce139","source_id":"aqua_rat","source_item_id":"10db070084b8e21d66ab8c6a314ce139","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"On a test the passing students had an average of 83, while the failing students had an average of 55. If the overall class average was 76, what percent of the class passed?","stimulus":"","stimulus_html":null,"stem_html":"

On a test the passing students had an average of 83, while the failing students had an average

of 55. If the overall class average was 76, what percent of the class passed?

","rationale_html":"

Let p = proportion that passed. Then 83p + 55(1- p) = 76, so p = 21/28 = 75

correct answer E

","correct_answer":["E"],"equiv_key":"3b33b0389fee9db5f4d56c77","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"

44%

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

66%

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

68%

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

72%

","ord":3},{"label":"E","content_html":"

75%

","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}