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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Benny saw a 10-foot shark with 2 6-inch remoras attached to it. What percentage of the shark's body length is the combined length of the remoras?",
"answer": "First, find the combined length of the remoras in inches: 6 inches/remora * 2 remoras = <<6*2=12>>12 inches\nThen divide that number by 12 to convert it to feet: 12 inches / 12 inches/foot = <<1=1>>1 foot\nThen divide the combined remora length in feet by the shark's length and multiply by 100% to express the answer as a percentage: 1 foot / 10 feet * 100% = 10%\n#### 10",
"id_orig": 473,
"id_shuffled": 0,
"question_annotated": "{n} saw a {x}-foot {big_fish} with {k} {y}-inch remoras attached to it. What percentage of the {big_fish}'s body length is the combined length of the remoras?\n\n#init:\n- n = sample(names)\n- big_fish = sample([\"dolphin\", \"whale\", \"shark\"])\n- $x = range(10, 500, 10)\n- $k = range(2, 10)\n- $y = range(2, 100)\n\n#conditions:\n- k * y < x * 12\n- divides(k*y,12)\n- divides(x * 12, k*y)\n- divides(100, x * 12 / (k*y))\n\n#answer: int((k * y)/ (x * 12) * 100)",
"answer_annotated": "First, find the combined length of the remoras in inches: {y} inches/remora * {k} remoras = <<{y}*{k}={k*y}>>{k*y} inches.\nThen divide that number by 12 to convert it to feet: {k*y} inches / 12 inches/foot = <<{k*y}/12>>{k*y//12} foot.\nThen divide the combined remora length in feet by the {big_fish}'s length and multiply by 100% to express the answer as a percentage: {k*y//12} foot / {x} feet * 100% = {int(k*y/(12*x)*100)}%\n\n#### {int(k*y/(12*x)*100)}"
}