{"id":"aqua_rat:8a19ae9d452054128f8f5a175c2982ec","source_id":"aqua_rat","source_item_id":"8a19ae9d452054128f8f5a175c2982ec","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":"The ratio of a numerator to denominator is 2:3. If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction. Find the numerator.'","stimulus":"","stimulus_html":null,"stem_html":"<p>The ratio of a numerator to denominator is 2:3. If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction. Find the numerator.&#x27;</p>","rationale_html":"<p>The ratio of a numerator to denominator is 2:3 --&gt; x/y=2/3</p><p>If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction --&gt; x−6/y=2/3∗2/3x--&gt; x/y−6/y=4/9--&gt; 2/3−6/y=4/9 --&gt; 6/y=2/9--&gt; y=27--&gt; x27=23x27=23 --&gt; x=18x=18.</p><p>E.</p>","correct_answer":["E"],"equiv_key":"cbb1a79506c81f419a40d820","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>9</p>","ord":0},{"label":"B","content_html":"<p>10</p>","ord":1},{"label":"C","content_html":"<p>16</p>","ord":2},{"label":"D","content_html":"<p>7</p>","ord":3},{"label":"E","content_html":"<p>18</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":[]}