To find out how much each partner invested, we need to divide the total investment of $1,200,000 according to the given ratio of 6:8:11. Let's break this down step by step:

1. Determine the total number of parts in the ratio: $6 + 8 + 11 = 25$

2. Calculate the value of one part: $\text{Value of one part} = \frac{\text{Total Investment}}{\text{Total parts}} = \frac{1,200,000}{25} = 48,000$

3. Calculate each partner's investment:

   • First Partner (ratio 6): $\text{Investment} = 6 \times 48,000 = 288,000$

   • Second Partner (ratio 8): $\text{Investment} = 8 \times 48,000 = 384,000$

   • Third Partner (ratio 11): $\text{Investment} = 11 \times 48,000 = 528,000$

So, the investments are:

• First Partner: $288,000
• Second Partner: $384,000
• Third Partner: $528,000

Would you like more details or have any questions about this calculation?

Here are 5 related questions to consider:

1. What is the percentage share of each partner in the total investment?
2. If the restaurant makes a profit of $300,000, how should it be distributed among the partners?
3. How would the investments change if the total investment were $1,500,000 instead?
4. What would be the new ratio if the second partner increased their investment to $400,000?
5. How would you determine the individual investments if one partner's contribution was unknown?

Tip: When dealing with ratios and proportions, always verify that the total of the calculated parts matches the total quantity given.