three partners are investing a total of 1200000 in a new restaurant. their investments are in the ratio of 6:8:11. How much did each invest?

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.

Three partners are investing a total of 1200000 in a new restaurant. Their investments are in the ratio of 6:8:11. How much did each invest?

Learn how to divide an investment of $1,200,000 among three partners in the ratio of 6:8:11. This problem demonstrates ratio calculations and proportional distribution, breaking down the steps to calculate each partner's investment. Suitable for students in Grades 6-8.

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