{"id":"aqua_rat:a6ec01fb01a906ede077562003ec3fd2","source_id":"aqua_rat","source_item_id":"a6ec01fb01a906ede077562003ec3fd2","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":"The total weight of a tin and the cookies it contains is 2 pounds. After 3/4 of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?","stimulus":"","stimulus_html":null,"stem_html":"<p>The total weight of a tin and the cookies it contains is 2 pounds. After 3/4 of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?</p>","rationale_html":"<p>Let the weight of the empty tin = w</p><p>(2 - w) = weight of the cookies; and one quarter of the cookies weigh (2 - w)/4</p><p>One quarter of the cookies + tin = 0.8 = w + (2 - w)/4</p><p>Multiply through by 4; 3.2 = 4w + 2 - w</p><p>1.2 = 3w; w = 0.4</p><p>C) 0.4</p>","correct_answer":["C"],"equiv_key":"79201ce240bbedb7f09bb047","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>0.9</p>","ord":0},{"label":"B","content_html":"<p>0.6</p>","ord":1},{"label":"C","content_html":"<p>0.4</p>","ord":2},{"label":"D","content_html":"<p>0.3</p>","ord":3},{"label":"E","content_html":"<p>0.1</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":[]}