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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "When Sophie watches her nephew, she gets out a variety of toys for him. The bag of building blocks has 31 blocks in it. The bin of stuffed animals has 8 stuffed animals inside. The tower of stacking rings has 9 multicolored rings on it. Sophie recently bought a tube of bouncy balls, bringing her total number of toys for her nephew up to 62. How many bouncy balls came in the tube?",
"answer": "Let T be the number of bouncy balls in the tube.\nAfter buying the tube of balls, Sophie has 31 + 8 + 9 + T = 48 + T = 62 toys for her nephew.\nThus, T = 62 - 48 = <<62-48=14>>14 bouncy balls came in the tube.\n#### 14",
"id_orig": 930,
"id_shuffled": 9,
"question_annotated": "When {name, Sophie} watches her {family,nephew}, she gets out a variety of toys for him. The bag of building blocks has {x,31} blocks in it. The bin of stuffed animals has {y,8} stuffed animals inside. The number of action figures in the action figure pack is twice the number of blocks and stuffed animals combined. The crayon box has 12 different colors of crayon. The tower of stacking rings has {z,9} multicolored rings on it. {name, Sophie} recently bought a tube of bouncy balls, bringing her total number of toys for her {family,nephew} up to {total,62}. How many bouncy balls came in the tube?\n\n#init:\n- name = sample(names_female)\n- family = sample([\"nephew\", \"cousin\", \"brother\"])\n- $x = range(30, 45)\n- $y = range(5, 20)\n- $z = range(20, 35)\n- $total = range(155, 250)\n- $ans = range(20, 100)\n\n#conditions:\n- x + y + z + ans + 2*(x+y) + 12 == total\n\n#answer: ans",
"answer_annotated": "Let T be the number of bouncy balls in the tube.\nAfter buying the tube of balls, {name} has {x} + {y} + {z} + {2*(x+y)} + 12 + T = {x+y+z + 2*(x+y) + 12} + T = {total} toys for her {family}.\nThus, T = {total} - {x+y+z + 12 + 2*(x+y)} = <<{total}-{x+y+z+12+2*(x+y)}={ans}>>{ans} bouncy balls came in the tube.\n#### {ans}"
}