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8 lines
No EOL
1.4 KiB
JSON
8 lines
No EOL
1.4 KiB
JSON
{
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"question": "Pierson scored 278 points in one game of bowling. Nikita scored 11 more than half as many as Pierson. How many points did Pierson and Nikita have in total?",
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"answer": "Pierson = <<278=278>>278 points\nNikita = (1/2) 278 + 11 = 150 points\n278 + 150 = <<278+150=428>>428 points\nTogether, Pierson and Nikita scored 428 points.\n#### 428",
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"id_orig": 800,
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"id_shuffled": 53,
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"question_annotated": "{name1,Pierson} scored {n1,278} points in one game of {game,bowling}. {name2,Nikita} scored {n2,11} points more than {frac,half} as many as {name1,Pierson}. What is the average of their scores?\n\n#init:\n- name1, name2 = sample(names, 2)\n- game = sample([\"bowling\", \"darts\", \"archery\", \"basketball\", \"tennis\"])\n- $n1 = range(200, 500)\n- $n2 = range(5, 50)\n- $frac = sample(fraction_alnum)\n\n#conditions:\n- divides(n1 + int(frac * n1 + n2),2)\n- is_int(frac * n1)\n\n#answer: (n1 + int(frac * n1 + n2))//2",
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"answer_annotated": "{name1} scored <<{n1}={n1}>>{n1} points.\n{name2} scored {frac} * {n1} + {n2} = {int(frac*n1)} + {n2} = {int(frac * n1 + n2)} points.\nTogether, they have scored {n1} + {int(frac * n1 + n2)} = <<{n1}+{int(frac * n1 + n2)}={n1 + int(frac * n1 + n2)}>>{n1 + int(frac * n1 + n2)} points\nSince there are two people, to calculate the average, we divide the sum by two: {n1 + int(frac * n1 + n2)} / 2 = {(n1 + int(frac * n1 + n2))//2} \n#### {(n1 + int(frac * n1 + n2))//2}"
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} |