{"id":"aqua_rat:b5b347eb60ccfe43b526cbcee25f9dec","source_id":"aqua_rat","source_item_id":"b5b347eb60ccfe43b526cbcee25f9dec","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":"A travel company wants to charter a plane to the Bahamas. Chartering the plane costs $5,000. So far, 12 people have signed up for the trip. If the company charges $200 per ticket, how many more passengers must sign up for the trip before the company can make any profit on the charter?","stimulus":"","stimulus_html":null,"stem_html":"<p>A travel company wants to charter a plane to the Bahamas. Chartering the plane costs $5,000. So far, 12 people have signed up for the trip. If the company charges $200 per ticket, how many more passengers must sign up for the trip before the company can make any profit on the charter?</p>","rationale_html":"<p>Additional passengers (i.e., an integer, let&#x27;s say x) who must sign up before the company can make any profit = ?</p><p>200 * 12 + 200 * x &gt;= 5000</p><p>2400 + 200x &gt;= 5000</p><p>200x &gt;= 2600</p><p>x &gt;= 2600/200</p><p>x &gt;= 13</p><p>C</p>","correct_answer":["C"],"equiv_key":"f1bb270831d5050b2faa569c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>7</p>","ord":0},{"label":"B","content_html":"<p>9</p>","ord":1},{"label":"C","content_html":"<p>13</p>","ord":2},{"label":"D","content_html":"<p>27</p>","ord":3},{"label":"E","content_html":"<p>45</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":[]}