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? what value would each part of the tape diagram have to take to show 28 total cups of fruit punch? orange juice (cups) box cranberry juice (cups) 28

Explanation:

Step1: Find the scale factor

The original total cups are 7, and we need 28 cups. So the scale factor is $28 \div 7 = 4$.

Step2: Calculate cups of orange juice

Original orange juice is 4 cups. Multiply by scale factor: $4 \times 4 = 16$ cups.

Step3: Calculate cups of cranberry juice

Original cranberry juice is 3 cups. Multiply by scale factor: $3 \times 4 = 12$ cups.

Step4: Find value per part in tape diagram

The tape diagram for orange juice has 4 parts, total orange juice is 16, so each part: $16 \div 4 = 4$. For cranberry juice, 3 parts, total 12, so each part: $12 \div 3 = 4$. So each part of the tape diagram has a value of 4.

Answer:

Each part of the tape diagram has a value of 4. For 28 cups of fruit punch, you need 16 cups of orange juice and 12 cups of cranberry juice.