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If cashews cost $5.00 per pound and peanuts cost $1.50 per pound how do I write the formula to determine how many pound of cashews to mix with 30 pound of peanuts so that the mix will sell for $3.00 per pound.

  • college - ,

    Let C = weight cashews.
    30(1.50) + 5.00*C = (30+C)(3.00)

  • college - ,

    Let C be the # of pounds of cashews and 30 be the # of pounds of peanuts.

    $3 times the total number of lb. equals the sum of the costs of separate purchases of peanuts and cashews.

    (C + 30)* 3 = 5 C + 1.50*30 = 5C + 45

    Solve for C

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