pre-algebra

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a pottery studio gives three-hour and five-hour classes for $41.00 an hour. The studio collects 6,437 for 41 classes. How many 3 hour classes and how many five hour classes were paid for?

  • pre-algebra -

    number of 3-hour classes --- x
    number of 5-hour classes --- y

    x+y = 41 ----> y = 41-x

    3(41)x + 5(41)y = 6437
    3x + 5y = 157
    sub in the 1st equation ...

    3x + 5(41-x) = 157
    3x + 205 - 5x = 157
    -2x = -48
    x = 24
    then y = 41-24 = 17

    they sold 24 three-hour courses and
    17 five-hour courses

  • pre-algebra -

    X 3-hour classes.
    (41-x) 5-hour classes.

    41(3x) + 41*5(41-x) = $6,437.
    123x + 8405-205x = 6,437
    -82x = 6437-8405 = -1968
    X = 24 3-hour classes.

    41-x = 41-24 = 17 5-hour classes.

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