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8 lines
No EOL
2.1 KiB
JSON
8 lines
No EOL
2.1 KiB
JSON
{
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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?",
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"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",
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"id_orig": 636,
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"id_shuffled": 97,
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"question_annotated": "{name1,Julie} operates the cash register exactly {mult,twice} as fast as her less-experienced colleague {name2,Jewel}. {name3, Sara}, being more experienced than {name2,Jewel} but less experienced than {name1,Julie}, operates at the same speed as the average of {name2,Jewel} and {name1,Julie}. Daily, {name2,Jewel} processes {n,50} customers. What is the total weekly production for the three if they work all days of the week?\n\n#init:\n- name1, name2, name3 = sample(names_female, 3)\n- $mult = sample(multi_times)\n- $n = range(5, 61)\n\n#conditions:\n- is_int(n * mult)\n- is_int((n + n * mult) * 7)\n- divides((n + n * mult), 2)\n- (n + n * mult + (n+n*mult)//2) * 7 < 2500\n\n#answer: (n + n * mult + (n+n*mult)//2) * 7",
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"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.\nTogether {name1} and {name2} operate {n}+{n*mult}={n + n*mult} orders/day. Their average is {n+n*mult}/2 = {(n + n*mult ) //2} which is the daily output of {name3}.\nIn a day, they process {n*mult} orders/day + {n} orders/day + {(n + n*mult ) //2} orders/day = <<{n*mult}+{n}+{(n + n*mult ) //2}={n+n*mult+(n + n*mult ) //2}>>{n+n*mult+(n + n*mult ) //2} orders together.\nThe total number of orders the three processes in a week is {n+n*mult+(n + n*mult ) //2} orders/day * 7 days/week = <<{n+n*mult+(n + n*mult ) //2}*7={(n + n * mult + (n+n*mult)//2)*7}>>{(n + n * mult + (n+n*mult)//2)*7} orders\n#### {(n + n * mult + (n+n*mult)//2)*7}"
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} |