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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Carol and Jennifer are sisters from Los Angeles who love collecting signatures from celebrities. During their summer break from school, the sisters spend every afternoon collecting signatures. After five weeks, Carol and Jennifer compare their autograph books, counting up the number of signatures each sister has collected. Carol has 20 signatures in her book, and Jennifer has 44. The sisters have three more weeks of summer vacation, and they decide they want to reach 100 signatures between them by the end of the summer. How many signatures do the sisters need to collect to reach their goal?",
"answer": "Carol and Jennifer have already collected 20 + 44 signatures = <<20+44=64>>64 signatures.\nSince their goal is 100, they need to collect 100 - 64 signatures. 100 - 64 = <<100-64=36>>36 signatures\n#### 36",
"id_orig": 677,
"id_shuffled": 33,
"question_annotated": "{name1,Carol} and {name2,Jennifer} are sisters from {city,Los Angeles} who love collecting signatures from {celebrity_type,celebrities}. During their {vacation_type,summer break} from school, the sisters spend every afternoon collecting signatures. After {n1,five} weeks, {name1,Carol} and {name2,Jennifer} compare their autograph books, counting up the number of signatures each sister has collected. {name1,Carol} has {s1,20} signatures in her book, and {name2,Jennifer} has {s2,44}. The sisters have {n2,three} more weeks of {vacation_type,summer vacation}, and they decide they want to reach {goal,100} signatures between them by the end of the break. On average, how many signatures do the sisters need to collect per week?\n\n#init:\n- name1, name2 = sample(names_female, 2)\n- city = sample(cities)\n- celebrity_type = sample([\"movie stars\", \"athletes\", \"musicians\", \"politicians\", \"authors\"])\n- vacation_type = sample([\"winter break\", \"spring break\", \"summer break\", \"fall break\"])\n- season = sample([\"winter\", \"spring\", \"summer\", \"fall\"])\n- $n1 = range(3, 8)\n- $n2 = range(2, 5)\n- $s1 = range(15, 40)\n- $s2 = range(30, 60)\n- $goal = range(90, 150, 5)\n\n#conditions:\n- s1 + s2 < goal\n- is_int((goal - (s1 + s2)) / n2)\n\n#answer: (goal - (s1 + s2)) // n2",
"answer_annotated": "{name1} and {name2} have already collected {s1} + {s2} signatures = <<{s1}+{s2}={s1+s2}>>{s1+s2} signatures.\nSince their goal is {goal}, they need to collect {goal} - {s1+s2} signatures. {goal} - {s1+s2} = <<{goal}-{s1+s2}={goal-(s1+s2)}>>{goal-(s1+s2)} signatures.\nOn average, they need {goal-(s1+s2)} / {n2} = <<{goal-(s1+s2)} / {n2} = {(goal - (s1 + s2))// n2 }>>{(goal - (s1 + s2)) // n2} per week.\n#### {(goal - (s1 + s2)) // n2}"
}