A candy maker wants to make a 60-pound mixture of two candies to sell for $\$2$ per pound. If black licorice bits sell for $\$1.90$ per pound and orange gumdrops sell for $\$2.20$ per pound, how many pounds of each should be used?
Total weight = 60 pounds.
Let W pounds be the weight of black licorice bits in the mixture.
Then the weight of orange gumdrops will be (60 - W) pounds.
Considering the price,
1.9W + 2.2(60 - W) = 2 * 60
132 - 0.3W = 120
0.3W = 12
W = 12/0.3 = 40
40 pounds of black licorice bits and 20 pounds of orange gumdrops should be used.