{"id":"aqua_rat:149d9b1c1c6f7d65f9ebb91033542a04","source_id":"aqua_rat","source_item_id":"149d9b1c1c6f7d65f9ebb91033542a04","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":"A certain prosthodontist specializes in implanting gold and silver teeth in his patients’ mouths. He charges $650 for a gold tooth and $325 for a silver tooth. If his total fees for implanting gold and silver teeth last week were $15,925 in total, and he implanted five more gold teeth than silver teeth, how many teeth in total did he implant over the week?","stimulus":"","stimulus_html":null,"stem_html":"<p>A certain prosthodontist specializes in implanting gold and silver teeth in his patients’ mouths. He charges $650 for a gold tooth and $325 for a silver tooth. If his total fees for implanting gold and silver teeth last week were $15,925 in total, and he implanted five more gold teeth than silver teeth, how many teeth in total did he implant over the week?</p>","rationale_html":"<p>Let g be number of gold teeth and s be the silver teeth. Writing the given in equation form:</p><p>650*g+325*s=15,625g=s+5</p><p>simplifying the equations : 2g+s=49 and g−s=5</p><p>solving for g and s gives, g=18 and s=13. So, total is 31</p><p>Answer is A</p>","correct_answer":["A"],"equiv_key":"cfb223b1df94177c45cbcd1e","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>31</p>","ord":0},{"label":"B","content_html":"<p>32</p>","ord":1},{"label":"C","content_html":"<p>33</p>","ord":2},{"label":"D","content_html":"<p>34</p>","ord":3},{"label":"E","content_html":"<p>35</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":[]}