{"id":"aqua_rat:b4fcef414838891a6771afc53d4e9dad","source_id":"aqua_rat","source_item_id":"b4fcef414838891a6771afc53d4e9dad","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":"At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the non-defective staplers were rejected by mistake. If 72 of the non-defective staplers were rejected, what was the number of staplers produced that day?","stimulus":"","stimulus_html":null,"stem_html":"<p>At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the non-defective staplers were rejected by mistake. If 72 of the non-defective staplers were rejected, what was the number of staplers produced that day?</p>","rationale_html":"<p>We&#x27;re told that 10% of staplers in a factory are defective.</p><p>X = Total staplers</p><p>0.1X = defective staplers</p><p>0.9X = normal staplers</p><p>Next, we&#x27;re told that 2% of the normal staplers were rejected by mistake and that this = 72 staplers.</p><p>0.9X(0.02) = 72</p><p>0.018X = 72</p><p>18X = 72,000</p><p>X = 4,000</p><p>Final Answer:</p><p>A</p>","correct_answer":["A"],"equiv_key":"14a7edb0d2c42a7a1a670eaf","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>4,000</p>","ord":0},{"label":"B","content_html":"<p>4,200</p>","ord":1},{"label":"C","content_html":"<p>4,500</p>","ord":2},{"label":"D","content_html":"<p>4,800</p>","ord":3},{"label":"E","content_html":"<p>5,000</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":[]}