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algebra

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Theresa has $26 in her wallet. The bills are worth either $5 or $1. If there are 14 bills total, how many does she have of each type?

  • algebra - ,

    Set up your given:
    Let x be $5
    Let y be $1
    Amount: 5x + y = 26
    Number of bills: x + y = 14

    Solve the equations by elimination:
    (multiply the first equation by -1 to make y negative.. it would then cancel out)
    -5x - y = -26
    x + y = 14
    -4x = -12
    x = 3

    Plug in x to any of your orig. equations
    x + y = 14
    $5 = 3
    $1 = 14-3
    = 11

    Check: 3 $5 bills and 11 $1 bills equal to 14 bills.
    Check: 3x$5 = $15
    11x$1 = $11
    $15 + $ 11 = $26

  • algebra - ,

    Is it 3 fives and 11 ones

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