math

The student to teacher ratio is 19:1 at a local school and there is a total of 500 students and teachers. How many teachers and how many students are there.

I'm not sure how to begin to set this up since I have two unknowns and not only one.

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  3. 👁 600
  1. s = number of students

    19/20 = s/500

    Cross multiply and solve for s.

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    👩‍🏫
    Ms. Sue
  2. let the number of students be 19x
    let the number of teachers be x

    19x + x = 500
    20x = 500
    x = 25

    There are 19(25) or 475 students
    and 25 teachers

    check:
    total = 25+475 = 500
    ratio = 475 : 25 = 19:1

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  3. The answer was 280

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