Answer: Cheddar = 3 lbs, Swiss = 2.5
Step-by-step explanation:
Quantity Cost
Cheddar x 7.95
Swiss y 9.50
Total: 5.5 47.60
Qty: x + y = 5.5 ⇒ -7.95(x + y = 5.5) ⇒ -7.95x -7.95y = -43.725
Cost: 7.95(x) + 9.50(y) = 47.60
Use elimination to solve.
-7.95x - 7.95y = -43.725
7.95(x) + 9.50(y) = 47.60
1.55y = 3.875
÷ 1.55 ÷ 1.55
y = 2.5
Qty: x + y = 5.5
x + 2.5 = 5.5
-2.5 -2.5
x = 3.0