Still experimenting

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abdulhakeem 2025-01-30 23:44:12 -06:00
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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?",
"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",
"id_orig": 989,
"id_shuffled": 48,
"question_annotated": "{name} can peel {n1} {food}s a minute and saute {n2} {food}s in {t} minutes. How long will it take her to peel and saute {total} {food}s?\n\n#init:\n- name = sample(names_female)\n- food = sample([\"shrimp\", \"onion\", \"carrot\", \"mushroom\", \"clam\"])\n- $n1 = range(4, 15)\n- $n2 = range(20, 50, 5)\n- $t = range(5, 20)\n- $total = range(60, 200, 10)\n\n#conditions:\n- divides(total, n1)\n- divides(total, n2)\n\n#answer: total // n1 + (total // n2) * t",
"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\n#### {(total//n2)*t + total//n1}"
}