{"id":"aqua_rat:322dd05e71577b6d8482ff8df2f4eaa8","source_id":"aqua_rat","source_item_id":"322dd05e71577b6d8482ff8df2f4eaa8","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":"At a delivery store, seven packages have an average (arithmetic mean) weight of 222 kg and a median weight of 270 kg. What is the maximum possible weight, in kilograms, of the lightest package?","stimulus":"","stimulus_html":null,"stem_html":"<p>At a delivery store, seven packages have an average (arithmetic mean) weight of 222 kg and a median weight of 270 kg. What is the maximum possible weight, in kilograms, of the lightest package?</p>","rationale_html":"<p>In order to maximize the weight of the lightest package, assume that the four heaviest packages are equal to the median weight, and the three lightest packages are equal to each other in weight.</p><p>Let x be the weight of the lightest package.</p><p>3x + 4(270) = 7(222)</p><p>3x = 474</p><p>x = 158 kg</p><p>The answer is A.</p>","correct_answer":["A"],"equiv_key":"ea1778e07b8de0c2fa3fbd21","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>158</p>","ord":0},{"label":"B","content_html":"<p>165</p>","ord":1},{"label":"C","content_html":"<p>194</p>","ord":2},{"label":"D","content_html":"<p>225</p>","ord":3},{"label":"E","content_html":"<p>270</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":[]}