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abdulhakeem 2025-01-30 23:44:12 -06:00
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{
"question": "Julie operates the cash register exactly twice as fast as her less-experienced colleague Jewel. Daily, Jewel processes 50 customers. What is the total weekly production for the two if they work all days of the week?",
"answer": "While Jewel is processing 50 orders in a day, Julie processes 50 orders/day * 2 = <<50*2=100>>100 orders/day.\nIn a day, they process 100 orders/day + 50 orders/day = <<100+50=150>>150 orders together.\nThe total number of orders the two processes in a week is 150 orders/day * 7 days/week = <<150*7=1050>>1050 orders\n#### 1050",
"id_orig": 636,
"id_shuffled": 97,
"question_annotated": "{name1} operates the cash register exactly {mult} as fast as her less-experienced colleague {name2}. Daily, {name2} processes {n} customers. What is the total weekly production for the two if they work all days of the week?\n\n#init:\n- name1, name2 = sample(names_female, 2)\n- $mult = sample(multi_times)\n- $n = range(30, 100)\n\n#conditions:\n- is_int(n * mult)\n- is_int((n + n * mult) * 7)\n\n#answer: (n + n * mult) * 7",
"answer_annotated": "While {name2} is processing {n} orders in a day, {name1} processes {n} orders/day * {mult} = <<{n}*{mult}={n*mult}>>{n*mult} orders/day.\nIn a day, they process {n*mult} orders/day + {n} orders/day = <<{n*mult}+{n}={n+n*mult}>>{n+n*mult} orders together.\nThe total number of orders the two processes in a week is {n+n*mult} orders/day * 7 days/week = <<{n+n*mult}*7={(n+n*mult)*7}>>{(n+n*mult)*7} orders\n#### {(n+n*mult)*7}"
}