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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Toula went to the bakery and bought various types of pastries. She bought 3 dozen donuts which cost $68 per dozen, 2 dozen mini cupcakes which cost $80 per dozen, and 6 dozen mini cheesecakes for $55 per dozen. How much was the total cost?",
"answer": "The total charge for the doughnuts was 3 x $68 = $<<3*68=204>>204.\nThe total charge for the mini cupcakes was 2 x $80 = $<<2*80=160>>160.\nThe total charge for the mini cheesecakes was 6 x $55 = $<<6*55=330>>330.\nTherefore the total amount Toula paid for the pastries was $204 + $160 + $330 = $<<204+160+330=694>>694.\n#### 694",
"id_orig": 11,
"id_shuffled": 36,
"question_annotated": "{name,Toula} went to the {shop,bakery} and bought various types of {item,pastries}. She bought {n1,3} {item1,donuts} at ${p1,68} per dozen, {n2,2} {item2,mini cupcakes} at ${p2,80} per dozen, and {n3,6} {item3,mini cheesecakes}. After a {disc,10}% discount, she paid a total of ${total,1020}. What was the cost of {item3,mini cheesecakes} per dozen?\n\n#init:\n- name = sample(names_female)\n- shop = sample([\"bakery\", \"patisserie\", \"confectionery\", \"cafe\"])\n- item = sample([\"pastries\", \"baked goods\", \"desserts\", \"treats\"])\n- item1 = sample([\"donuts\", \"croissants\", \"eclairs\", \"danishes\"])\n- item2 = sample([\"mini cupcakes\", \"macarons\", \"cookies\", \"tarts\"])\n- item3 = sample([\"mini cheesecakes\", \"brownies\", \"muffins\", \"scones\"])\n- $n1 = range(12, 73, 12)\n- $n2 = range(48, 73, 12)\n- $n3 = range(24, 73, 12)\n- $p1 = range(11, 21)\n- $p2 = range(20, 35)\n- $p3 = range(100, 111)\n- $disc = range(5, 26, 5)\n- $total = range(950, 1550, 10)\n\n#conditions:\n- is_int(total * 100 / (100-disc))\n- (((total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2))/(n3//12)) >= 2\n- is_int(((total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2))/(n3//12))\n\n#answer: ((total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2))/(n3//12)",
"answer_annotated": "{item1} cost: {n1//12} * ${p1} = ${n1//12*p1}\n{item2} cost: {n2//12} * ${p2} = ${n2//12*p2}\nThe amount before discount: {total} * 100% / {(100-disc)}% = ${total * 100 / (100-disc)}\n{name} paid ${total * 100 / (100-disc)} - ${n1//12*p1} - ${n2//12*p2} = {(total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2)} for {item3}. \nShe bought {n3//12} dozens of {item3}. So, the cost per dozen is {(total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2)} / {n3//12} = {int(((total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2))/(n3//12))}\n\n#### {int(((total * 100 / (100-disc)) - (n1//12*p1) - (n2//12*p2))/(n3//12))}"
}