{"id":"aqua_rat:3f7d80c36db9a980e51544a3548d6c34","source_id":"aqua_rat","source_item_id":"3f7d80c36db9a980e51544a3548d6c34","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":"Two ants are standing side-by-side. One ant, which is 4 inches tall, casts a shadow that is 10 inches long. The other ant is 6 inches tall. Compute, in inches, the length of the shadow that the taller ant casts.","stimulus":"","stimulus_html":null,"stem_html":"<p>Two ants are standing side-by-side. One ant, which is 4 inches tall, casts a shadow that is 10 inches long. The other ant is 6 inches tall. Compute, in inches, the length of the shadow that the taller ant casts.</p>","rationale_html":"<p>The ratio of shadow to height is constant, so if x is the length of the shadow, then</p><p>4/10 = 6/x and x = 15 .</p><p>correct answer D</p>","correct_answer":["D"],"equiv_key":"eed0ff4db0d0da9d5864cae6","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>36</p>","ord":0},{"label":"B","content_html":"<p>28</p>","ord":1},{"label":"C","content_html":"<p>42</p>","ord":2},{"label":"D","content_html":"<p>15</p>","ord":3},{"label":"E","content_html":"<p>20</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":[]}