https://file.aiquickdraw.com/mathbot/file/17295719314101ftzi285.jpg

The problem in the image is written in Japanese and can be summarized as follows:

- Container A has 400 mL of milk.
- Container B has an unknown amount of coffee (let’s call it \( x \) mL).
- 200 mL of coffee is taken from container B and added to container A.
- After this, the ratio of the amount of coffee in container A to the amount of coffee remaining in container B becomes 5:2.
  
The question is asking: **How much coffee was originally in container B?**

### Steps to solve:
1. **Before mixing:**
   - Container A: 400 mL milk, 0 mL coffee.
   - Container B: \( x \) mL of coffee.

2. **After transferring 200 mL of coffee from B to A:**
   - Container A: 400 mL of milk, 200 mL of coffee.
   - Container B: \( x - 200 \) mL of coffee.

3. **Final condition (ratio of coffee):**
   - The amount of coffee in A to the remaining coffee in B is 5:2. 
   This gives the equation:
   \[
   \frac{200}{x - 200} = \frac{5}{2}
   \]

4. **Solving the equation:**
   - Cross-multiply:
   \[
   200 \times 2 = 5 \times (x - 200)
   \]
   \[
   400 = 5x - 1000
   \]
   - Solve for \( x \):
   \[
   5x = 1400
   \]
   \[
   x = 280
   \]

Thus, the original amount of coffee in container B was **280 mL**.

Would you like further clarification on any steps?

Here are 5 related questions for further practice:
1. What would happen if you transferred 300 mL of coffee instead of 200 mL?
2. How would the ratio change if container A initially had 500 mL of milk?
3. What if the final ratio was 3:1 instead of 5:2?
4. How much coffee would need to be transferred to make the ratio 4:3?
5. What is the final amount of liquid in container A after the transfer?

**Tip:** Always check the units when dealing with mixture problems, to ensure consistency across all quantities.

A container A has 400 mL of milk. Container B has an unknown amount of coffee. 200 mL of coffee is transferred from container B to container A. After this transfer, the ratio of coffee in container A to the remaining coffee in container B becomes 5:2. How much coffee was originally in container B?

This problem involves transferring liquid between two containers and finding the initial amount of coffee using ratios. The solution uses basic algebra to solve for the unknown amount of coffee. Suitable for students in Grades 6-8.

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