{"id":"aqua_rat:07d496bfdbd776405da457ddbd949c8d","source_id":"aqua_rat","source_item_id":"07d496bfdbd776405da457ddbd949c8d","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":"The original price of an item is discounted 22%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item?","stimulus":"","stimulus_html":null,"stem_html":"

The original price of an item is discounted 22%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item?

","rationale_html":"

Let x be the original price of the item

Discounted price = 0.78x

Payment made by the customer after using the $20 coupon = 0.78x - 20

0.78x - 20 = x/2 + 1.9

x = 78.20

E

","correct_answer":["E"],"equiv_key":"92770b5237263cde55d7de12","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"

$61

","ord":0},{"label":"B","content_html":"

$65

","ord":1},{"label":"C","content_html":"

$67.40

","ord":2},{"label":"D","content_html":"

$70

","ord":3},{"label":"E","content_html":"

$78.20

","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":[]}