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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Dax went to their farm to pick some apples and found half as many bugs as ants in the garden. If there were 50 ants, calculate the total number of insects in the garden.",
"answer": "If there were 50 ants, the total number of bugs in the garden is 1 bug/2 ants * 50 ants = 25 bugs\nThe total number of insects in the garden is 25 bugs + 50 ants = <<25+50=75>>75 insects\n#### 75",
"id_orig": 232,
"id_shuffled": 43,
"question_annotated": "{name,Dax} went to her {place,farm} to pick some {fruit,apples} and found {frac,1/2} as many {insect1,bugs} as {insect2,ants} in the {location,garden}. {name,Dax} then found {extra,50} white animals, half of which were rabbits. In addition, she saw {i3,10} {insect3,bees}, and {n,50} {insect2,ants}. What percentage of animals in the {location,garden} were rabbits?\n\n#init:\n- name = sample(names_female)\n- place = sample([\"orchard\", \"backyard\", \"greenhouse\", \"allotment\"])\n- fruit = sample([\"strawberries\", \"cherries\", \"blueberries\", \"raspberries\"])\n- location = sample([\"garden\", \"field\", \"plot\", \"patch\"])\n- insect1, insect2, insect3 = sample([\"ants\", \"beetles\", \"ladybugs\", \"grasshoppers\", \"caterpillars\", \"bees\", \"wasps\"], 3)\n- $frac = sample(fraction_alnum + multi_times)\n- $i3 = range(15, 45)\n- $n = range(4, 25)\n- $extra = range(8, 77, 2)\n\n#conditions:\n- is_int(n * frac)\n- n * frac > 2\n- is_int((extra/2)/(extra+i3+int((n + int(n * frac))))*100)\n\n#answer: int((extra/2)/(extra+i3+int((n + int(n * frac))))*100)",
"answer_annotated": "If there were {n} {insect2}, the total number of {insect1} in the {location} is {frac} * {n} {insect2} = {int(n * frac)} {insect1}\nThe total number of insects in the {location} is {int(n * frac)} {insect1} + {n} {insect2} + {i3}{insect3}= <<{int(n * frac)}+{n}+{i3}={n + i3+ int(n * frac)}>>{n + i3+int(n * frac)} insects.\nThe percentage of rabbits is {extra}/2 = {extra//2}\n{extra//2}/{extra+n+i3+ int(n * frac)} * 100 = {int((extra/2)/int((extra+i3+n + int(n * frac)))*100)}\n#### {int((extra/2)/(extra+i3+int((n + int(n * frac))))*100)}"
}