# Problem: Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry.Consider a piece of gold jewelry that weighs 9.60 g and has a volume of 0.670 cm3 . The jewelry contains only gold and silver, which have densities of 19.3 g/cm3 and 10.5 g/cm3, respectively. If the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains, calculate the percentage of gold (by mass) in the jewelry.

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###### FREE Expert Solution

We’re asked to calculate the percentage of gold (by mass) in the jewelry if the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains.

Recall that mass percent is given by the equation:

Since we're given the mass of the jewelry, then we can solve for the mass percent of gold using the equation: ###### Problem Details

Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry.

Consider a piece of gold jewelry that weighs 9.60 g and has a volume of 0.670 cm3 . The jewelry contains only gold and silver, which have densities of 19.3 g/cm3 and 10.5 g/cm3, respectively. If the total volume of the jewelry is the sum of the volumes of the gold and silver that it contains, calculate the percentage of gold (by mass) in the jewelry.