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A bank teller has a total of 124 bills in fives and tens. The total value of the money is $840. How many of each kind does he have?

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  1. first, we represent the unknowns using variables:
    let x = number of 5-dollar bill
    since according to first statement, he has a total of 124 bills in 5 and 10,
    let 124 - x = number of 10-dollar bill
    now we set up the equation,, according to the second statement, the total value is $840. thus,
    5x + 10(124-x) = 840
    solving for x:
    5x + 1240 - 10x = 840
    -5x + 1240 = 840
    -5x = -400
    to get x alone, we divide both sides by the numerical coefficient of x which is -5:
    (-5x)/(-5) = -400/(-5)
    x = 80 five-dollar bill
    124-x = 44 ten-dollar bill

    hope this helps~ :0

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