SOLUTION: A metal alloy is a mixture of two or more metals. A jeweler wants to make 8 grams of 18-carat gold, which is 75% gold. The jeweler has an alloy that is 90% gold an an alloy that i

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A metal alloy is a mixture of two or more metals. A jeweler wants to make 8 grams of 18-carat gold, which is 75% gold. The jeweler has an alloy that is 90% gold an an alloy that i      Log On


   

Question 1073087: A metal alloy is a mixture of two or more metals. A jeweler wants to make 8 grams of 18-carat gold, which is 75% gold. The jeweler has an alloy that is 90% gold an an alloy that is 50% gold. How much of each alloy should the jeweler use?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x of the 50% gold
y of the 90% gold

system%28%2850x%2B90y%29%2F8=75%2Cx%2By=8%29

50x%2B90%288-x%29=8%2A75---------using just one variable, x

10x%2B18%288-x%29=8%2A15

8x=8%2818-15%29

highlight%28x=3%29------grams of the 50% gold

highlight%28y=5%29------grams of the 90% gold