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5 April, 00:36

Sharon has some one dollar bills and som five dollar bills. She has 14 bills. The value of the bills are $30. Solve a system of equations using elimination to find how many of each kind of bill she has

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  1. 5 April, 00:49
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    Let the no. of one dollar bills be x and the no. of five dollar bills be y.

    She has 14 bills = > 1st equation = > x+y=14

    The value of the bills are $30 = > 2st equation = > ($1) x + ($5) y = 30

    Simultaneous equations:

    x + y = 14 = > x = 14 - y

    x + 5y = 30

    Sub x = 14 - y into x + 5y = 30,

    ie. (14 - y) + 5y = 30 = > 14 + 4y = 30 = > 4y = 16 = > y=4
  2. 5 April, 00:49
    0
    Lets x = # of one dollar bills, y = # of five dollars bills

    x + y = 14 so x = 14-y

    x + 5y = 30

    substitute x = 14-y into x + 5y = 30

    x + 5y = 30

    14 - y + 5y = 30

    4y = 16

    y = 4

    x = 14 - y = 14-4=10

    # of one dollars bills = 10 ($1x10 = $10)

    # of five dollars bills = 4 ($5 x 4 = 20)

    double check

    $10+$20 = $30 (The value of the bills are $30)

    4+10=14 (She has 14 bills)
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