{"id":"aqua_rat:6fc3cacdebb765bc1616186d520d01e9","source_id":"aqua_rat","source_item_id":"6fc3cacdebb765bc1616186d520d01e9","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":"Divide the number 49 into two parts, such that if the greater part is increased by 6 and the lesser part is decreased by 11, their ratio is 9 to 2.","stimulus":"","stimulus_html":null,"stem_html":"<p>Divide the number 49 into two parts, such that if the greater part is increased by 6 and the lesser part is decreased by 11, their ratio is 9 to 2.</p>","rationale_html":"<p>Let x = the greater part, and 49-x = the lesser part.</p><p>By the conditions proposed, x+6:49-x-11 = x+6:38-x- = 9:2</p><p>Adding the terms, x+6:44 = 9:11</p><p>x+6:4 = 9:1</p><p>x+6 = 36. And x = 30.</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"909f2906e8cad8107dc1ff59","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>29</p>","ord":0},{"label":"B","content_html":"<p>30</p>","ord":1},{"label":"C","content_html":"<p>31</p>","ord":2},{"label":"D","content_html":"<p>32</p>","ord":3},{"label":"E","content_html":"<p>None</p>","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":[]}