Gold Jewelry
caculating the percentage of gold in the jewelry?
Consider a piece of gold jewelry that weighs 9.75 and has a volume of 0.670 . The jewelry contains only gold and silver, which have densities of 19.3 and 10.5 , 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.
volume Au + volume Ag = 0.670 cm^3
mass Au + mass Ag = 9.75 g
volume Au = 0.670 – volume Ag
mass Au = 9.75 – mass Ag
19.3 =9.75 – mass Ag/ 0.670 – volume Ag
10.5 = mass Ag / volume Ag
let x = mass Ag
let y = volume Ag
x/y= 10.5
x = 10.5 y
19.3 = 9.75 -x/ 0.670 -y
solve this system
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