{"id":"aqua_rat:a0189fc58d496492a432e4e56d7caef7","source_id":"aqua_rat","source_item_id":"a0189fc58d496492a432e4e56d7caef7","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":"Preston's Health Foods makes a mixed nut blend that contains 26% cashews. Simon, one of the workers at the plant, has 9 kilograms of nuts that are 30% cashews. He also has a large supply of mixed nuts that contain 22% cashews. How many kilograms of the 22% cashew mix does Simon need to add to the 30% cashew mix to obtain a mix that is 26% cashews?","stimulus":"","stimulus_html":null,"stem_html":"<p>Preston&#x27;s Health Foods makes a mixed nut blend that contains 26% cashews. Simon, one of the workers at the plant, has 9 kilograms of nuts that are 30% cashews. He also has a large supply of mixed nuts that contain 22% cashews. How many kilograms of the 22% cashew mix does Simon need to add to the 30% cashew mix to obtain a mix that is 26% cashews?</p>","rationale_html":"<p>0.3(9) + 0.22x = 0.26(9 + x)</p><p>2.7 + 0.22x = 2.34 + 0.26x</p><p>2.7 – 0.04x = 2.34</p><p>-0.04x = -0.36</p><p>x = 9</p><p>Answer is C.</p>","correct_answer":["C"],"equiv_key":"5c55b401cce8ffce1d40cb29","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>35kg</p>","ord":0},{"label":"B","content_html":"<p>70kg</p>","ord":1},{"label":"C","content_html":"<p>09kg</p>","ord":2},{"label":"D","content_html":"<p>23kg</p>","ord":3},{"label":"E","content_html":"<p>54kg</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":[]}