Candy worth $2.45 per pound is mixed with candy worth $2.30 per pound.How much of each kind of candy must be used to have 30 pounds of a mixture worth $2.35 per pound?

Answer 1

X lbs @ $2.45/lb.
(30-X)lbs @ $2.30/lb.

2.45X + 2.30(30 - X) = $2.35*30,
2.45X + 69 - 2.30X = 70.5,
0.15X = 70.5 - 69 = 1.5,
X = 10lbs. @ $2.45/lb.

30 - X = 30 - 10 = 20lbs @ $2.30/lb.