{"id":"aqua_rat:b3fdc0d885781401839b321d7728f4b0","source_id":"aqua_rat","source_item_id":"b3fdc0d885781401839b321d7728f4b0","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":"Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.","stimulus":"","stimulus_html":null,"stem_html":"<p>Tanya&#x27;s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.</p>","rationale_html":"<p>Let, Tanya age 16 years ago = x,</p><p>Grandfather&#x27;s age 16 years ago = 8x.</p><p>8 years from now, 3(x+16+8) = (8x+16+8)</p><p>=&gt; x = 48/5</p><p>8 years ago ratio was:</p><p>=&gt;x+8/8x+8=48/5+8/8×48/5+8</p><p>=&gt;88/424=11/53</p><p>Option C</p>","correct_answer":["C"],"equiv_key":"07b1aa6d98188c8ed1337bfe","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>11:50</p>","ord":0},{"label":"B","content_html":"<p>11:51</p>","ord":1},{"label":"C","content_html":"<p>11:53</p>","ord":2},{"label":"D","content_html":"<p>11:54</p>","ord":3},{"label":"E","content_html":"<p>None of these</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":[]}