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18 December, 15:51

The student to faculty ratio at a small elementary school is 17:3 The total of students and faculty is 400 How many faculty members are there at the elementary. How many students?

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  1. 18 December, 16:03
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    Answer: 60 faculty, 340 students

    Explanation:

    x is some unknown number such that

    17x = number of students

    3x = number of faculty

    17x+3x = 20x = 400 = total number of people

    20x = 400 solves to x = 20

    Therefore,

    17x = 17*20 = 340 students

    3x = 3*20 = 60 faculty

    The ratio 340:60 reduces to 17:3 after dividing both parts by the GCF 20
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