Final answer:
To complete a table of proportions for a cran-apple juice blend with a ratio of 3 to 5, you would calculate various multiples or fractions of the initial ratio to maintain proportionality, such as doubling or halving the initial amounts.
Step-by-step explanation:
The question involves finding different proportional amounts for a mixture with a fixed ratio of cranberry to apple juice, which is 3 to 5. To complete the table, we need to keep the ratio constant while scaling up or down the quantities. This is a typical mathematics question regarding ratios and proportions.
For example, if we have 3 cups of cranberry juice, we would need 5 cups of apple juice to maintain the ratio. To scale this up, we could double the amounts: 6 cups of cranberry juice would require 10 cups of apple juice. Similarly, if we scale it down, half of the initial amounts would be 1.5 cups of cranberry juice to 2.5 cups of apple juice.
Here's a small table showing some proportional amounts:
- 3 cups cranberry : 5 cups apple
- 6 cups cranberry : 10 cups apple
- 1.5 cups cranberry : 2.5 cups apple
- 9 cups cranberry : 15 cups apple