There are 222 red balls in a basket. A boy takes out 6 red balls from it and replaces then by 12 white balls. He continues to do so til all the red balls are replaced by white balls. Determine the number of white balls put in the basket.

Options

A. 444
B. 111
C. 333
D. 222

Answer

To determine the total number of white balls put in the basket, we can follow these steps:

1. **Understand the process**: The boy takes out 6 red balls and replaces them with 12 white balls. This means for every 6 red balls removed, he adds 12 white balls.

2. **Calculate the number of iterations**:
- Initially, there are 222 red balls.
- Each time he removes 6 red balls, the number of red balls decreases by 6.
- To find out how many times he can repeat this process until all red balls are replaced, we divide the total number of red balls by the number of red balls he removes each time:
\[ \text{Number of iterations} = \frac{222}{6} = 37 \]
- This means he can perform the operation 37 times.

3. **Calculate the total number of white balls added**:
- Each time he performs the operation, he adds 12 white balls.
- Therefore, the total number of white balls added after 37 iterations is:
\[ \text{Total white balls} = 37 \times 12 = 444 \]

4. **Conclusion**: The total number of white balls put in the basket is 444.

### Summary of the Solution:
- The boy can replace the red balls 37 times, adding 12 white balls each time, resulting in a total of 444 white balls.