{"id":"aqua_rat:041f555a7c22f8a25d2babc1c319fdf0","source_id":"aqua_rat","source_item_id":"041f555a7c22f8a25d2babc1c319fdf0","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":"Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have?","stimulus":"","stimulus_html":null,"stem_html":"<p>Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have?</p>","rationale_html":"<p>Suppose Arun has $X and Sajal has $Y. then,</p><p>2(x-30)= y+30 =&gt; 2x-y =90 …(i)</p><p>and x +10 =3(y-10) =&gt; x-3y = - 40 …(ii)</p><p>Solving (i) and (ii), we get x =62 and y =34.</p><p>Arun has $62 and Sajal has $34.</p><p>Answer B.</p>","correct_answer":["B"],"equiv_key":"f4b67ff3d418b6d1f012896e","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>62, 35</p>","ord":0},{"label":"B","content_html":"<p>62, 34</p>","ord":1},{"label":"C","content_html":"<p>34, 62</p>","ord":2},{"label":"D","content_html":"<p>42, 62</p>","ord":3},{"label":"E","content_html":"<p>62, 42</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":[]}