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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 {crayon,12} different colors of crayon, and the sticker book has {sticker_mult,8} pages, each with {sticker_page,13} stickers. 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 items 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, 15)\n- $z = range(25, 35)\n- $crayon = sample([12])\n- $total = range(200, 351, 10)\n- $ans = range(40, 101)\n- $sticker_mult = range(6, 10)\n- $sticker_page = range(9, 14)\n\n#conditions:\n- x + y + z + ans + 2*(x+y) + crayon + sticker_mult*sticker_page == total\n\n#answer: ans",
"answer_annotated": "Let T be the number of bouncy balls in the tube.\nThe sticker book has {sticker_mult} * {sticker_page} = {sticker_mult*sticker_page} stickers.\nThe action figures are 2 * ({x}+{y}) = 2 * {x+y} = {2*(x+y)}.\nAfter buying the tube of balls, {name} has {x} + {y} + {z} + {2*(x+y)} + {crayon} + {sticker_mult*sticker_page} + T = {x+y+z + 2*(x+y) + crayon+sticker_mult*sticker_page} + T = {total} toys for her {family}.\nThus, T = {total} - {x+y+z + crayon + sticker_mult*sticker_page + 2*(x+y)} = <<{total}-{x+y+z+crayon+sticker_mult*sticker_page+2*(x+y)}={ans}>>{ans} bouncy balls came in the tube.\n#### {ans}"
}