Final answer:
Mr. Powers can pack up 8 full containers of soup from a batch that measures 6 and 1/4 cups, with each container holding 3/4 cups, and will have a little leftover.
Step-by-step explanation:
The question asks how many containers of soup Mr. Powers can pack if his batch is 6 and 1/4 cups and each container holds 3/4 cups. To find the answer, you need to divide the total amount of soup by the capacity of one container.
First, convert the mixed number 6 and 1/4 cups to an improper fraction: 6 * 4 + 1 = 25, so it is 25/4 cups. Next, divide 25/4 cups by 3/4 cups to find the number of containers:
- 25/4 ÷ 3/4
- 25/4 × 4/3 (Multiply by the reciprocal of the divisor)
- 100/12
- 8 1/3 (which simplifies to 8 whole containers and some leftover soup)
So, Mr. Powers will be able to pack 8 full containers of soup and have a little left over.