{"id":"aqua_rat:ac5b21691f1677d76bc89b68c6b4909d","source_id":"aqua_rat","source_item_id":"ac5b21691f1677d76bc89b68c6b4909d","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":"64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3?","stimulus":"","stimulus_html":null,"stem_html":"<p>64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3?</p>","rationale_html":"<p>Let us say x boys and x girls joined the group.</p><p>(64 + x)/(40 + x) = 4/3</p><p>192 + 3x = 160 + 4x =&gt; x = 32</p><p>Number of members in the group = 64 + x + 40 + x</p><p>= 104 + 2x = 168.</p><p>E</p>","correct_answer":["E"],"equiv_key":"639b05be696ccce82795ac67","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>277</p>","ord":0},{"label":"B","content_html":"<p>288</p>","ord":1},{"label":"C","content_html":"<p>200</p>","ord":2},{"label":"D","content_html":"<p>277</p>","ord":3},{"label":"E","content_html":"<p>168</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":[]}