Problema Solution
For thousands of years, gold has been considered one of the Earth's most precious metals. One hundred percent pure gold is 24 karat gold, which is too soft to be made into jewelry. Most gold jewelry is 14-karat gold, approximately 59% 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 250 grams?
Answer provided by our tutors
let 'x' represent the amount of 18-karat gold used, then '250-x' represents the amount of 12-karat gold used
0.59(250) = 0.75x + 0.50(250-x)
solving for 'x' we have x=90
250-90 = 160
90 grams of 18-karat gold should be mixed with 160 grams of 12-karat gold