Answer:
15 8 ounce containers and 52 6 ounce containers
Step-by-step explanation:
First figure out how much soup must be in the 50 small containers
50 * 6 = 300
Subtract that from the total amount of soup
432 - 300 = 132
We have to put 132 ounces of soup into 6 ounce and 8 ounce containers
Let x be the number of 6 ounce and y be the number of 8 ounce containers
6x+8y = 132
x+y = minimum
We want to use as many 8 ounce containers as possible
132/8 = 16.5
16*8 = 128 r4 we cannot use 16 because we do not have a 4ounce container
15*8 = 120 r12 12/6 =2 we can do this because we can use 2 6 ounce containers
We need 15 8 ounce containers and 2 6 ounce for the 132 ounces left
We have 50 for the 300 ounces
For a total of
15 8 ounce containers and 52 6 ounce containers
