1. x + y = 10 (the total weight is 10 ounces, and it will the sum of the # of ounces of both ingredients), 1.5x + 2.5y = 22 (the total cost is $22, and is the total of the cost of the two parts, which cost different amounts)
2. Using substitution is the easiest here, so we will use it:
x = 10 - y
Substitute: 1.5(10 - y) + 2.5y = 22
Distribute: 15 - 1.5 y + 2.5y = 22
Simplify: 15 + y = 22
Subtract: y = 7
Substitute: x + 7 = 10
Subtract: x = 3
Therefore, the solution is (3, 7)