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March 25, 2017

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A lab technician has a 15 percent alcohol solution and a 35 percent alcohol solution. She wants to make 100 gallons of a 29 percent alcohol solution. How much of the 15 percent solution should she use?

  • Algebra 1 - ,

    Start by defining variables.

    Let x = the amount of the 15% alcohol solution.
    Let y = the amount of the 35% alcohol solution.

    We want to find x.

    Now define equations from the word problems.

    x+y = 100 to have 100 gallons of solution.
    0.15x + 0.35y = 29 to have a 29% solution.

    Solve the system of equations. x=?

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