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Algebra

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Snookers Lumber can convert logs intoeither lumber or plywood. In a given day, the mill turns three times as many units of plywoos as lumber It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. How much of each unit must be produced and sold in order to make a profit of $15080?

  • Algebra - ,

    let x be the number of units of lumber.
    let 3x be the number of units of plywood (because it turns three times as many units of plywood as lumber)

    Multiply the variables by the profits and set it equal to the total profit

    3x*40+x*25=15080
    120x+25x=15080
    145x=15080

    x=104

    To find how much of each unit:
    104 lumber (because x is the number of lumber)
    3*104 plywood (because 3x is the number of plywood) = 312

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