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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Charlie has three times as many Facebook friends as Dorothy. James has four times as many friends on Facebook as Dorothy. If Charlie has 12 friends on Facebook, how many Facebook friends does James have?",
"answer": "Dorothy has 12 / 3 = <<12/3=4>>4 Facebook friends.\nJames has 4 * 4 = <<4*4=16>>16 Facebook friends.\n#### 16",
"id_orig": 149,
"id_shuffled": 90,
"question_annotated": "{name1,Charlie} has {mult1,three times} as many {platform,Facebook} friends as {name2,Dorothy}. {name3,James} has {mult2,four times} as many friends on {platform,Facebook} as {name2,Dorothy}. {name1,Charlie} has {n,12} friends on {platform,Facebook}. On average, how many {platform,Facebook} friends do {name1,Charlie}, {name2,Dorothy}, and {name3,James} have?\n\n#init:\n- name1, name2, name3 = sample(names, 3)\n- platform = sample([\"Instagram\", \"Twitter\", \"LinkedIn\", \"TikTok\", \"Snapchat\"])\n- $mult1 = sample(multi_times+multiple_ice)\n- $mult2 = sample(multi_times+multiple_ice)\n- $n = range(10, 201)\n\n#conditions:\n- mult2 != mult1\n- is_int(n / mult1)\n- divides(int((n / mult1) * mult2) + n + (n / mult1), 3)\n\n#answer: (int((n / mult1) * mult2) + n + (n // mult1)) // 3",
"answer_annotated": "{name2} has {n} / {mult1} = <<{n}/{mult1}={n//mult1}>>{n//mult1} {platform} friends.\n{name3} has {mult2} * {n//mult1} = <<{mult2}*{n//mult1}={int((n / mult1) * mult2)}>>{int((n / mult1) * mult2)} {platform} friends.\nTogether, they have {n} + {n//mult1} + {int(n / mult1 * mult2)} = {(int((n / mult1) * mult2) + n + (n // mult1))} {platform} friends. \nOn average, they have {(int((n / mult1) * mult2) + n + (n // mult1))} / 3 = {(int((n / mult1) * mult2) + n + (n // mult1)) // 3} friends.\n#### {(int((n // mult1) * mult2) + n + (n // mult1)) // 3}"
}