Final answer:
To get 12 oz of Cool Whip, two 8 oz containers would be needed, using only 12 oz out of the total 16 oz. If using a 16 oz container, only one would be required with some leftover.
Step-by-step explanation:
The student needs to determine how many containers of Cool Whip are needed to get exactly 12 oz for Mr. Porod's famous peanut butter pie. Because Cool Whip only comes in 8 oz and 16 oz containers, we need to figure out the best way to combine these to get exactly 12 oz.
Using 8 oz containers:
Let x represent the number of 8 oz containers. To create a proportion, we compare the desired amount with the amount one container can provide:
8 oz/1 container = 12 oz/x containers
By cross-multiplying, we get:
8x = 12
Now, we solve for x:
x = 12/8
x = 1.5
Since you can't purchase half a container, we would need to buy two 8 oz containers and use only 12 oz out of the 16 oz total.
Using 16 oz containers:
Let y represent the number of 16 oz containers. Again, we set up a proportion:
16 oz/1 container = 12 oz/y containers
By solving the proportion, we find that y would be less than 1, which indicates that one 16 oz container is more than enough. Therefore, we would need just one 16 oz container and have some leftover.