Question 1208997
How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?



If to mix x of 12 karat gold and result in 60 grams of 16 karat gold then
this would be with 60-x of the 24 karat gold.


{{{(12/24)x+(24/24)(60-x)=(16/24)*60}}}
This equation should be clear.  Solve for x.




{{{12x+24*60-24x=16*60}}}

{{{-12x+24*60=16*60}}}

{{{12x-24*60=-16*60}}}

{{{12x=60(24-16)}}}

{{{x=60(8/12)}}}

{{{x=60(2/3)}}}

{{{x=40}}}-----------40 grams of the 12-karat gold