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The problem in the image asks how many cups of orange juice are needed to maintain the same ratio of ingredients if the punch bowl holds 27 cups.

From the table, the punch recipe contains the following amounts for each ingredient:
- Cranberry Juice: 4 cups
- Orange Juice: 2 cups
- Pineapple Juice: 2 cups
- Lemon Lime Soda: 1 cup

The total number of cups in one batch of punch is:

\[
4 + 2 + 2 + 1 = 9 \, \text{cups}
\]

Now, if the punch bowl holds 27 cups, this is three times the amount of the original recipe (since \(27 \div 9 = 3\)).

To keep the ratios the same, we need to multiply the amount of each ingredient by 3. For orange juice, the original amount is 2 cups, so:

\[
2 \times 3 = 6 \, \text{cups}
\]

Therefore, Riley will need **6 cups of orange juice** to keep the ratio the same in a 27-cup punch bowl.

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Would you like more details on any part of the solution?

Here are 5 related questions you might be interested in:
1. How many cups of cranberry juice are needed for the 27-cup punch?
2. What is the total amount of lemon-lime soda in a 27-cup punch?
3. If the punch bowl held 18 cups instead of 27, how many cups of orange juice would you need?
4. What is the ratio of orange juice to pineapple juice in one batch of punch?
5. How can you calculate the total amount of ingredients if you increase or decrease the punch bowl size?

**Tip:** When scaling a recipe, always calculate the total amount first and then multiply each ingredient proportionally!

If the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?

Learn how to calculate the correct amount of orange juice for a 27-cup punch bowl by maintaining the ingredient ratios. The original recipe uses 2 cups of orange juice, and by scaling the recipe proportionally, we determine the new quantity. Suitable for middle school students in Grades 6-8.

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