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The problem presented is about finding how many batteries 3 machines will produce in 11 hours, given that 12 machines produce 6400 batteries in 11 hours.

### Step-by-Step Solution:

1. **Determine the production rate of 1 machine**:
   If 12 machines produce 6400 batteries in 11 hours, the production per machine in 11 hours is:

   \[
   \text{Production per machine} = \frac{6400 \text{ batteries}}{12 \text{ machines}} = 533.33 \text{ batteries per machine}
   \]

2. **Calculate production for 3 machines**:
   Since we want to find how many batteries 3 machines will produce in 11 hours, we multiply the production of 1 machine by 3:

   \[
   \text{Production of 3 machines} = 533.33 \times 3 = 1600 \text{ batteries}
   \]

Thus, 3 machines will produce **1600 batteries** in 11 hours.

Let me know if you'd like more details or if you have any questions!

### Related Questions:
1. How many batteries will 1 machine produce in 1 hour?
2. How long will it take 6 machines to produce 3200 batteries?
3. If the machines work for 15 hours instead of 11, how many batteries will 12 machines produce?
4. How many machines are needed to produce 8000 batteries in 11 hours?
5. What is the production rate per machine per hour?

### Tip:
Always calculate the rate of production per unit (machine or time) to easily scale up or down depending on the problem's requirements.

12 machines produce 6400 batteries in 11 hours. How many batteries will 3 of the machines produce in 11 hours?

Learn how to calculate how many batteries 3 machines will produce in 11 hours, given that 12 machines produce 6400 batteries in the same amount of time. This problem covers proportionality and basic arithmetic concepts. Suitable for students in Grades 5-7.

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