Question

The cheddar cost 7.95 per pound, and the Swiss cost 9.50 per pound. Lori bought five and a half pounds of cheese for s total of 47.60

Answer 1

Answer: Cheddar = 3 lbs, Swiss = 2.5

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