Let multiplicative factor be x Then amount of walnuts to buy = 1(x), or x Amount of almonds to buy = 2(x), or 2x Amount of raisins to buy = 3(x), or 3x Cost of x lbs of walnuts: 12x Cost of 2x lbs of almonds: 2x(9), or 18x Cost of 3x lbs of raisins: 3x(5), or 15x We then have: 12x + 18x + 15x = 15 45x = 15 x, or multiplicative factor 15/45 , or 1/3 Amount of walnuts to be purchased: x, or lb Amount of almonds to be purchased: 2x, or 2/3 lb Amount of raisins to be purchased: 3x, or , or 1 lb Amount of trail mix that can be made with $15 **2** or lbs