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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "At Allan's house, there is twice as much corn as cannolis. He has a total of 40 cannolis in his house. Allan bought 60 more cannolis at the store and 40 fewer corns than the number of cannolis. Find the combined total of the number of corns and cannolis Allan has in the house?",
"answer": "Before buying any corn and cannoli, Allan had twice as much corn as cannoli, which is 40 cannoli * 2 corn/cannoli = <<40*2=80>>80 corns\nThe total number of corns and cannolis that Allan had before is 80 corn + 40 corn = <<80+40=120>>120 corn\nWhen he bought 40 fewer corns than cannolis, he bought 60 corn - 40 corn = <<60-40=20>>20 corns\nIn total, he bought 20 corns + 60 cannolis = <<20+60=80>>80 items\nAfter the purchases, Allan has 120 items + 80 items = <<120+80=200>>200 total corns and cannolis combined.\n#### 200",
"id_orig": 406,
"id_shuffled": 91,
"question_annotated": "At {name,Allan}'s house, there are {mult,twice} as many {food1,corn}s as {food2,cannolis}s. He has a total of {n,40} {food2,cannolis}s in his house. {name,Allan} bought {m,60} more {food2,cannolis}s at the store and {k,40} fewer {food1,corn}s than the number of {food2,cannolis}s. Find the combined total of the number of {food1,corn}s and {food2,cannolis}s {name,Allan} has in the house?\n\n#init:\n- name = sample(names_male)\n- food1, food2 = sample([\"corn\", \"apple\", \"banana\", \"orange\", \"pear\", \"grape\", \"fig\", \"persimmon\", \"plum\", \"kiwi\"], 2)\n- $mult = sample(multi_times)\n- $n = range(20, 100)\n- $m = range(30, 100)\n- $k = range(10, 50)\n\n#conditions:\n- m > k\n\n#answer: mult*n + n + m + (m-k)",
"answer_annotated": "Before buying any {food1} and {food2}, {name} had {mult} times as many {food1}s as {food2}s, which is {n} {food2}s * {mult} {food1}/{food2} = <<{n}*{mult}={n*mult}>>{n*mult} {food1}s\nThe total number of {food1}s and {food2}s that {name} had before is {n*mult} {food1}s + {n} {food2}s = <<{n*mult}+{n}={n*mult+n}>>{n*mult+n} items\nWhen he bought {k} fewer {food1}s than {food2}s, he bought {m} {food1}s - {k} {food1}s = <<{m}-{k}={m-k}>>{m-k} {food1}s\nIn total, he bought {m-k} {food1}s + {m} {food2}s = <<{m-k}+{m}={2*m-k}>>{2*m-k} items\nAfter the purchases, {name} has {n*mult+n} items + {2*m-k} items = <<{n*mult+n}+{2*m-k}={n*mult+n+2*m-k}>>{n*mult+n+2*m-k} total {food1}s and {food2}s combined.\n#### {n*mult+n+2*m-k}"
}