{"id":"aqua_rat:a2a4548afa03eabd0cfddac157b04984","source_id":"aqua_rat","source_item_id":"a2a4548afa03eabd0cfddac157b04984","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":"Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is:","stimulus":"","stimulus_html":null,"stem_html":"<p>Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is:</p>","rationale_html":"<p>(1:2),(2:3),(3:4)</p><p>(1+2),(2+3),(3+4)</p><p>3,5,7</p><p>equal quantities of mixture i.e. lcm of 3,5,7=105</p><p>105/3=35 , 105/5=21 , 105/7=15</p><p>(35*1,35*2),(21*2,21*3),(15*3,15*4)</p><p>(35,70),(42,63),(45,60)</p><p>so overall mixture ratio is</p><p>35+42+45:70+63+60</p><p>122:193</p><p>D</p>","correct_answer":["D"],"equiv_key":"60579812bef17e664d6bbe33","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>193:122</p>","ord":0},{"label":"B","content_html":"<p>61:97</p>","ord":1},{"label":"C","content_html":"<p>137:178</p>","ord":2},{"label":"D","content_html":"<p>122:193</p>","ord":3},{"label":"E","content_html":"<p>122:195</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":[]}