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8 lines
No EOL
2.2 KiB
JSON
8 lines
No EOL
2.2 KiB
JSON
{
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"question": "Emily can peel 6 shrimp a minute and saute 30 shrimp in 10 minutes. How long will it take her to peel and cook 90 shrimp?",
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"answer": "First find how long it takes Emily to peel the shrimp: 90 shrimp / 6 shrimp/minute = <<90/6=15>>15 minutes\nThen find how many batches of shrimp she needs to cook: 90 shrimp / 30 shrimp/batch = <<90/30=3>>3 batches\nThen multiply the number of batches by the time per batch to find the total cook time: 3 batches * 10 minutes/batch = <<3*10=30>>30 minutes\nThen add the peeling time to find the total time Emily spends: 30 minutes + 15 minutes = <<30+15=45>>45 minutes\n#### 45",
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"id_orig": 989,
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"id_shuffled": 48,
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"question_annotated": "{name,Emily} can peel {n1,6} {food,shrimp}s a minute and saute {n2,30} {food,shrimp}s in {t,10} minutes. How long will it take her to peel and saute {total,90} {food,shrimp}s if it takes {extra,10} minutes to wash all the {food,shrimp}s? Note that {name, Emily} can't work in parallel.\n\n#init:\n- name = sample(names_female)\n- food = sample([\"shrimp\", \"carrot\", \"clam\", \"zucchini\"])\n- $n1 = range(4, 15)\n- $n2 = range(20, 50, 5)\n- $t = range(5, 20)\n- $total = range(60, 200, 10)\n- $extra = range(10, 26)\n\n#conditions:\n- divides(total, n1)\n- divides(total, n2)\n\n#answer: total // n1 + (total // n2) * t + extra",
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"answer_annotated": "First find how long it takes {name} to peel the {food}: {total} {food} / {n1} {food}/minute = <<{total}/{n1}={total//n1}>>{total//n1} minutes\nThen find how many batches of {food} she needs to cook: {total} {food} / {n2} {food}/batch = <<{total}/{n2}={total//n2}>>{total//n2} batches\nThen multiply the number of batches by the time per batch to find the total cook time: {total//n2} batches * {t} minutes/batch = <<{total//n2}*{t}={(total//n2)*t}>>{(total//n2)*t} minutes\nThen add the peeling time to find the total time {name} spends: {(total//n2)*t} minutes + {total//n1} minutes = <<{(total//n2)*t}+{total//n1}={(total//n2)*t + total//n1}>>{(total//n2)*t + total//n1} minutes.\nWe also should add {extra} minutes for washing: {(total//n2)*t + total//n1} + {extra} = {(total//n2)*t + total//n1 + extra}\n#### {(total//n2)*t + total//n1 + extra}"
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} |