{"id":"aqua_rat:3949f0b99855b76b9de299d3e2ca4234","source_id":"aqua_rat","source_item_id":"3949f0b99855b76b9de299d3e2ca4234","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":"Jack buys 18 sharpeners (white and brown) for rs. 100. If he pays 1 rupee more for each white than brown sharpeners. How many of white and how many brown sharpeners did he buy?","stimulus":"","stimulus_html":null,"stem_html":"<p>Jack buys 18 sharpeners (white and brown) for rs. 100. If he pays 1 rupee more for each white than brown sharpeners. How many of white and how many brown sharpeners did he buy?</p>","rationale_html":"<p>Total cost=100</p><p>number of sharp=18</p><p>cost of white=cost of brown+1</p><p>100/18=5.5...-(1)</p><p>also 100%18=10...-(2)</p><p>as cost of white is 1 more than that of brown</p><p>from 1 int. value will be 5</p><p>now remainder is 10 so 10 sharp. will be of cost (5+1)</p><p>=&gt; 10*(5+1)+8*5</p><p>=&gt;10*6+8*5</p><p>=60+40</p><p>100</p><p>white=10</p><p>brown=8</p><p>A</p>","correct_answer":["A"],"equiv_key":"a3b2a77b34864aca3207c22c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>10,8</p>","ord":0},{"label":"B","content_html":"<p>9,8</p>","ord":1},{"label":"C","content_html":"<p>7,8</p>","ord":2},{"label":"D","content_html":"<p>5,6</p>","ord":3},{"label":"E","content_html":"<p>11,12</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":[]}