{"id":"aqua_rat:9f8c454ecf04bf4debe41c66b8069261","source_id":"aqua_rat","source_item_id":"9f8c454ecf04bf4debe41c66b8069261","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":"During a 10-week period, a doughnut store conducted a promotion by giving away one free doughnut with every doughnut purchased. If the store sold and gave away a total of K doughnuts per week, and each doughnut was sold for $0.25, how many dollars worth of doughnuts did the store give away?","stimulus":"","stimulus_html":null,"stem_html":"<p>During a 10-week period, a doughnut store conducted a promotion by giving away one free doughnut with every doughnut purchased. If the store sold and gave away a total of K doughnuts per week, and each doughnut was sold for $0.25, how many dollars worth of doughnuts did the store give away?</p>","rationale_html":"<p>Total number of donuts sold and given away in a week =K =(K/2 + K/2)=(sold + free)</p><p>cost of each donut =$0.25</p><p>number of free donuts in a week= 0.25*K/2=K/8</p><p>in 10 weeks time 10*K/8 =5K/4</p><p>B</p>","correct_answer":["B"],"equiv_key":"357459103ab8ff8582364f66","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>K/8</p>","ord":0},{"label":"B","content_html":"<p>5K/4</p>","ord":1},{"label":"C","content_html":"<p>K</p>","ord":2},{"label":"D","content_html":"<p>3K/2</p>","ord":3},{"label":"E","content_html":"<p>6K</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":[]}