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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Julia was preparing for a dinner party at her house, where she intended to serve stew. She noticed that she was out of plastic spoons, so she bought a new package of spoons. Later, her husband also bought a package of 5 new spoons and gave them to Julia. While Julia was making the stew, she used three of the spoons to sample her stew. Later, when she went to set the table, she had a total of 12 spoons. How many spoons were in the package that Julia bought?",
"answer": "The total number of spoons from Julia and her husband was 12+3=<<12+3=15>>15 spoons.\nSince the husband bought a package of five spoons, then Julia's package contained 15-5=<<15-5=10>>10 spoons.\n#### 10",
"id_orig": 125,
"id_shuffled": 22,
"question_annotated": "{name,Julia} was preparing for a {event,dinner party} at her house, where she intended to serve {food,stew}. She noticed that she was out of plastic {obj,spoons}, so she bought a new package of {obj,spoons}. Later, her husband also bought a package of {n1,5} new {obj,spoons} and gave them to {name,Julia}. While {name,Julia} was making the {food,stew}, she used {n2,three} of the {obj,spoons} to sample her {food,stew}, then threw away {extra_count,10} defective {obj,spoons}. The guests also brought {extra,2} packs of {obj,spoon}, each having {extra_count,10} inside them. Later, when she went to set the table, she had a total of {total,12} {obj,spoons}. How many {obj,spoons} were in the package that {name,Julia} bought?\n\n#init:\n- name = sample(names_female)\n- event = sample([\"lunch party\", \"birthday party\", \"potluck party\", \"baby shower\", \"game night\"])\n- food = sample([\"roast chicken\", \"grilled salmon\", \"beef stew\", \"vegetable lasagna\", \"stuffed peppers\", \"shrimp scampi\", \"creme brulee\"])\n- obj = sample([\"spoons\", \"forks\", \"plates\"])\n- $x = range(10, 45)\n- $n1 = range(5, 20)\n- $n2 = numbers_within(5, 20)\n- $total = range(20, 90)\n- $extra = range(2, 5)\n- $extra_count = range(5, 16)\n\n#conditions:\n- total == x + n1 - n2 + extra * extra_count - extra_count\n\n#answer: x",
"answer_annotated": "Husband {obj}: {n1}.\nGuests {obj}: {extra} * {extra_count} = {extra * extra_count}\nUsed {obj} for sampling {food} or threw away: {n2} + {extra_count} = {n2 + extra_count}\nRemained {obj}: {total}.\nSo the number of {obj} {name} bought is: {total} - {n1} + {n2 + extra_count} - {extra * extra_count} = {x}\n#### {x}"
}