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algebra

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Rachael bought 12 pencils and 7 markers for $5.36, and later bought 8 pencils and 5 markers for $3.68. Find the cost of each pencil and marker.

  • algebra - ,

    Let x = cost of pencils and y = cost of markers.

    12x + 7y = 5.36
    8x + 5y = 3.68

    Multiply second equation by 1.5.

    12x + 7.5y = 5.52

    Subtract first equation from modified second equation.

    .5y = .16

    y = .32

    Insert value of y into either equation to find x. Then put both values in the other equation to check your answers.

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