{"id":"aqua_rat:0b65af688388c82b1d3c6371753a592c","source_id":"aqua_rat","source_item_id":"0b65af688388c82b1d3c6371753a592c","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 company meeting, M men and W women meet in a conference room. If the ratio of men to women is 2:3 at the meeting and the conference room can hold no more than 64 people, then what is the maximum number of women who can be at the meeting?","stimulus":"","stimulus_html":null,"stem_html":"<p>At a company meeting, M men and W women meet in a conference room. If the ratio of men to women is 2:3 at the meeting and the conference room can hold no more than 64 people, then what is the maximum number of women who can be at the meeting?</p>","rationale_html":"<p>M=2W/3</p><p>W+M=5W/3 &lt;= 64</p><p>W &lt;= 38.4</p><p>If W=38, then M=25.3 (inadmissible)</p><p>If W=37, then M=24.7 (inadmissible)</p><p>Then W = 36 and M = 24.</p><p>The answer is B.</p>","correct_answer":["B"],"equiv_key":"0fbdbb2c58b1b401a52a38a9","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>35</p>","ord":0},{"label":"B","content_html":"<p>36</p>","ord":1},{"label":"C","content_html":"<p>37</p>","ord":2},{"label":"D","content_html":"<p>38</p>","ord":3},{"label":"E","content_html":"<p>39</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":[]}