DIVIDE 283 FT INTO 7 LOTS IF EACH LOT HAS 20 BUNDLES OF 20 PIECES WITH THE LENGTH OF 6 FT.

To solve this problem, we need to determine if 283 feet of material can be divided into 7 lots, where each lot has 20 bundles of 20 pieces, each piece being 6 feet long.

### Step-by-Step Solution

1. **Calculate the total length required for one lot:**

   Each lot contains 20 bundles, and each bundle has 20 pieces, with each piece being 6 feet long. Therefore, the total length required for one lot is calculated as:
   \[
   \text{Length for one lot} = 20 \times 20 \times 6 \, \text{ft}
   \]

2. **Calculate the length of one lot:**

   Let's compute the total length needed for one lot:

   \[
   \text{Length for one lot} = 20 \times 20 \times 6 = 400 \times 6 = 2400 \, \text{ft}
   \]

3. **Determine if 283 feet can be divided into 7 lots with the required length:**

   Each lot needs 2400 feet of material. For 7 lots, the total required length is:

   \[
   \text{Total length needed for 7 lots} = 7 \times 2400 \, \text{ft} = 16800 \, \text{ft}
   \]

   However, we only have 283 feet available.

4. **Comparison:**

   The available 283 feet is significantly less than the 16800 feet required for 7 lots. Therefore, **283 feet is not enough to divide into 7 lots,** each requiring 2400 feet.

### Conclusion

It is not possible to divide 283 feet into 7 lots if each lot requires 2400 feet. The available length is far less than what is needed.

Would you like to ask any more questions or need details on a specific part? Here are some related questions to consider:

1. What if each piece was a different length, how would that affect the total?
2. How would the calculation change if we had a different number of lots?
3. If we had more material available, how would we calculate the maximum number of lots possible?
4. What is the smallest number of lots we can create with 283 feet?
5. How can we calculate the remaining length if we were to create as many complete lots as possible with 283 feet?

**Tip:** Always break down the problem step-by-step to ensure you understand each part of the calculation before moving on.

Learn how to divide 283 feet of material into 7 lots, where each lot consists of 20 bundles, and each bundle contains 20 pieces of 6 feet each. This problem involves division, multiplication, and length measurement concepts. Suitable for students in Grades 6-8.

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