Answer:
Recipe I uses 10% of the whole chunk of cheese.
Recipe II uses 30% of the whole chunk of cheese.
Recipe II uses 60% of the whole chunk of cheese.
Recipe I uses 0.2 pounds of cheese.
Recipe II uses 0.6 pounds of cheese.
Recipe II uses 1.2 pounds of cheese.
Step-by-step explanation:
Total amount of cheese = 2 pounds
Recipe I used one-third as much cheese as Recipe II did, and Recipe II used one-half as much cheese as Recipe III.
Let the amount of cheese used by recipe I, II and III be x, y and z respectively.
Total amount of cheese = 2 pounds
x + y + z = 2 (eqn 1)
Recipe I used one-third as much cheese as Recipe II did
x = (1/3)y
y = 3x
Recipe II used one-half as much cheese as Recipe III.
y = (1/2)z
z = 2y
z = 2y = 2(3x) = 6x
Substituting all of these into eqn 1
x + y + z = 2
x + 3x + 6x = 2
10x = 2
x = 0.2 pounds of cheese
y = 3x = 0.6 pounds of cheese
z = 6x = 1.2 pounds of cheese.
Recipe I uses (0.2/2) = 10% of the whole chunk of cheese.
Recipe II uses (0.6/2) = 30% of the whole chunk of cheese.
Recipe II uses (1.2/2) = 60% of the whole chunk of cheese.
Hope this Helps!!!
