The relative amount of gold in an alloy is commonly expressed in units of carats. Pure gold is 24 carats, and the percentage of gold in an alloy is given as a percentage of this value. For example, an alloy that is 50 percent gold is 12 carats. State the purity of the gold jewelry in carats.
This makes no sense. What gold jewelry? 50% is 12 carats if that is the question but that's also the answer.
To determine the purity of the gold jewelry in carats, we need to know the percentage of gold in the alloy. Let's assume the gold jewelry is 75 percent gold.
First, convert the percentage to a decimal by dividing it by 100:
75% = 75/100 = 0.75
Next, multiply the decimal value by 24, which represents the purity of pure gold in carats:
0.75 * 24 = 18
Therefore, the purity of the gold jewelry in carats is 18 carats.