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algebra please help

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how much of 12.5% of skylite red pigment needs to be mixed with 20% macintosh red pigment to get a 17% red pigment?

  • algebra please help -

    If the fraction of "skylight" is x and the fraction of the "macintosh" is 1-x, the fraction of red pigment contained in the mixture will be
    0.125 x + 0.20 (1-x) = 0.17
    Solve for x.
    0.03 = 0.075x
    x = 0.4 = skylight fraction
    (1-x) = 0.60 = macintosh fraction

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