Question

you need 4 cups of orange juice and 3 cups of cranberry juice to make 7 total cups of fruit punch. how many cups of each juice do you need for 28 cups of fruit punch? complete the table to show how many cups of orange juice and cranberry juice you need to make 28 cups of fruit punch.

orange juice (cups)	cranberry juice (cups)	fruit punch (cups)
12	16	28

Explanation:

Step1: Find the scale factor

The original total is 7 cups, and we need 28 cups. The scale factor is $\frac{28}{7} = 4$.

Step2: Calculate orange juice for 28 cups

Multiply the original orange juice (4 cups) by the scale factor. So, $4\times4 = 16$ cups.

Step3: Calculate cranberry juice for 28 cups

Multiply the original cranberry juice (3 cups) by the scale factor. So, $3\times4 = 12$ cups.

Answer:

For 28 cups of fruit punch, you need 16 cups of orange juice and 12 cups of cranberry juice. The correct table entries should be:

Orange Juice (cups)	Cranberry Juice (cups)	Fruit Punch (cups)
16	12	28