SOLUTION: Pure, or 24-karat,gold is very soft, so it is rarely used for jewellery. Most gold jewellery contains a mixture of gold and some cheaper metal(s) to make it harder. Suppose a jewel

Question 1021999: Pure, or 24-karat,gold is very soft, so it is rarely used for jewellery. Most gold jewellery contains a mixture of gold and some cheaper metal(s) to make it harder. Suppose a jewellery maker has some 18-karat gold (75% pure) and 9-karat gold (37.5% pure), and they want to make a new piece of 15-karat gold (62.5% pure) with a mass of 150 grams. What mixture should they use?
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
You can do this all in karats if you want.

x for the 18 k gold
y for the 9 k gold

Simplify the karats equation.

The simplified system to solve is .
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