Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice?

 	
Original
(Cups)
Added
(Cups)
New
(Cups)
Amount of Juice
15
0
 
Amount of Punch
20
4
 
27%
37.5%
62.5%
75%

To find the percentage of juice in the new punch mixture, let's follow these steps:

### 1. **Original Punch Details:**
- Total amount of punch: 20 cups.
- Percentage of juice in the original punch: 75%.

The amount of juice in the original punch is:
\[
\text{Juice in original punch} = 0.75 \times 20 = 15 \, \text{cups}.
\]

### 2. **Water Added:**
- Amount of water added: 4 cups.
- Since it's pure water, it doesn't contain any juice.

### 3. **New Total Punch Volume:**
- New total amount of punch: \( 20 \, \text{cups of original punch} + 4 \, \text{cups of water} = 24 \, \text{cups} \).

### 4. **Juice in the New Mixture:**
- The amount of juice remains the same as in the original punch: 15 cups.
  
### 5. **Percentage of Juice in the New Mixture:**
The percentage of juice in the new mixture is:
\[
\text{New percentage of juice} = \left( \frac{\text{Amount of juice}}{\text{New total punch volume}} \right) \times 100 = \left( \frac{15}{24} \right) \times 100 = 62.5\%.
\]

### Final Answer: 
The new punch is **62.5% juice**.

Would you like further details or have any questions?

Here are five related questions to expand your understanding:
1. What would the juice percentage be if 10 cups of water were added instead?
2. How much water would need to be added to reduce the juice percentage to 50%?
3. If more juice was added to the new punch, how would that affect the percentage?
4. How would the juice percentage change if 2 cups of juice were added instead of water?
5. How can this type of problem be solved using ratios?

**Tip:** Always think of percentages as a ratio of a part to the total and scale it accordingly.

Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice?

Learn how to calculate the percentage of juice in a punch mixture after adding water. In this problem, 4 cups of water are added to a 20-cup punch that is 75% juice, and we determine that the new mixture is 62.5% juice. Suitable for students in Grades 6-8.

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