To find: How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?
Answer to Problem 43AYU
Mix 20 g of pure gold with 40 g .
Explanation of Solution
Given:
The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold. Thus, 18-karat gold is , or pure gold; 12-karat gold is , or pure gold; and so on.
Calculation:
Gold
Now set up an equation to solve for pure gold 12k gold.
We know we have 60 grams total weight and 40 g of gold.
Let X be the amount of pure gold in the mixture, then the amount of 12 k gold is .
Gold content
So we need to mix 20 g of pure gold with 40 g of 12 k gold to get 60 g of 1.
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