An alloy of gold and silver has a mass of 1050g and a volume of 60cm cubic. if the density of gold is 19.3g/cm cubic and that of silver is 10.5g/cm cubic. Find the mass of gold

921 g

Explanation:

If S is the mass of silver and G is the mass of gold, then the total mass is:

S + G = 1050

And the total volume is:

S/10.5 + G/19.3 = 60

Using substitution:

S = 1050 - G

(1050 - G) / 10.5 + G/19.3 = 60

(1050 - G) (19.3) + G (10.5) = 60 (19.3) (10.5)

20265 - 19.3G + 10.5G = 12159

8106 = 8.8G

G = 921.1

Rounded to 3 significant figures, the mass of the gold is 921 grams.