a goldsmith combined pure gold that cost $890 per ounce with an alloy of gold that cost $360 per ounce. how many ounces of each were used to make 50 ounces of gold alloy costing $519 per ounce

Answer 1

890X + 360(50-X) = 519(50) = 25950

890X - 360X = 25950-18000 = 7950

530X = 7950

X = 15 ounces of pure gold mixed with 35 ounces of the alloy to get 50 ounces costing $519 per ounce

890(15) + 360(35) = 13350 + 12600 = 25950