{"id":"aqua_rat:134b45d2c5ca26fc7c4b78fafba1edf0","source_id":"aqua_rat","source_item_id":"134b45d2c5ca26fc7c4b78fafba1edf0","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":"Everyone in the family earns money each month. If the total income of a family per month is $9000 and the median income is $3000, how many members are there in the family?","stimulus":"","stimulus_html":null,"stem_html":"<p>Everyone in the family earns money each month. If the total income of a family per month is $9000 and the median income is $3000, how many members are there in the family?</p>","rationale_html":"<p>There must be more than two members.</p><p>If there are four members, then the middle two average $3000 for a total of $6000, and the highest earner must earn at least $3000 which puts the total at $9000 minimum. The lowest earner pushes the total past $9000 so there can not be four family members.</p><p>There must be three family members.</p><p>The answer is B.</p>","correct_answer":["B"],"equiv_key":"5a764e323cd436d7ce1051a7","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>2</p>","ord":0},{"label":"B","content_html":"<p>3</p>","ord":1},{"label":"C","content_html":"<p>4</p>","ord":2},{"label":"D","content_html":"<p>5</p>","ord":3},{"label":"E","content_html":"<p>6</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":[]}