Each week, Mrs. Mack buys exactly 3 5/8 pounds of chease for her mac and cheese recipe. She chose from these kinds of cheese.
Mrs. Mack buys as many packages as she needs- up to three packages of any any one kind.
What packages of cheese ( and how many of each kind) dose Mrs. Mack buy?
American cheese: 7/8 lb
Cheddar cheese; 0.5 lb
Swiss cheese; 0.2 lb
Answer (1)
Answer:Option 1: American Cheese (7/8 lb)- 3.625 / 0.875 = 4.14 packages (round down to 3 packages, as she can't buy a fraction)- 3 packages x 0.875 lb = 2.625 lb (short by 1 lb)Option 2: Cheddar Cheese (0.5 lb)- 3.625 / 0.5 = 7.25 packages (exceeds 3-package limit)Option 3: Swiss Cheese (0.2 lb)- 3.625 / 0.2 = 18.125 packages (far exceeds 3-package limit)Combination:To reach 3 5/8 pounds, Mrs. Mack could buy:- 3 packages of American Cheese (2.625 lb)- 2 packages of Cheddar Cheese (1 lb)Total weight: 2.625 + 1 = 3.625 poundsThis combination meets the 3 5/8 pounds requirement without exceeding the 3-package limit per cheese type.
