Problema Solution
21. For thousands of years, gold has been considered one of
Earth’s most precious metals. One hundred percent pure
gold is 24-karat gold, which is too soft to be made into
jewelry. In the United States, most gold jewelry is 14-karat
gold, approximately 58% gold. If 18-karat gold is 75%
gold and 12-karat gold is 50% gold, how much of each
should be used to make a 14-karat gold bracelet weighing
300 grams?
Answer provided by our tutors
Let
x = grams of the 18-karat gold
y = grams of the 12-karat gold
x + y = 300
0.75x + 0.50y = 0.58*300
........
click here to see the system of equations solved for x and y
........
x = 96 grams
y = 204 grams
96 grams of 18-karat gold and 204 grams of 12-karat gold should be used to make the bracelet.