{"id":"aqua_rat:49534a75fea12377d026380c43d4fd0e","source_id":"aqua_rat","source_item_id":"49534a75fea12377d026380c43d4fd0e","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 average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?","stimulus":"","stimulus_html":null,"stem_html":"<p>The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?</p>","rationale_html":"<p>The total wage earned during the 15 days that the worker worked = 15 * 90 = $1350.</p><p>The total wage earned during the first 7 days = 7 * 87 = $609.</p><p>The total wage earned during the last 7 days = 7 * 92 = $644.</p><p>Total wage earned during the 15 days = wage during first 7 days + wage on 8th day + wage during the last 7 days.</p><p>Or 1350 = 609 + wage on 8th day + 644</p><p>Wage on 8th day = 1350 - 609 - 644 = $97.</p><p>Answer D</p>","correct_answer":["D"],"equiv_key":"5add02e8cda83087cd1480b3","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>$83</p>","ord":0},{"label":"B","content_html":"<p>$92</p>","ord":1},{"label":"C","content_html":"<p>$90</p>","ord":2},{"label":"D","content_html":"<p>$97</p>","ord":3},{"label":"E","content_html":"<p>$104</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":[]}