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The problem is asking to determine how many square feet can be covered by 1 pound of seeds, given that 1 and \( \frac{3}{4} \) pounds cover 532 square feet.

### Step-by-Step Solution:

1. **Convert the mixed number to an improper fraction:**
   \[
   1 \frac{3}{4} \text{ pounds} = \frac{7}{4} \text{ pounds}
   \]
   So, \( \frac{7}{4} \) pounds of seeds cover 532 square feet.

2. **Set up a proportion to find how much 1 pound of seeds covers:**
   We want to find the area (A) that 1 pound of seeds will cover. Using proportions:
   \[
   \frac{7}{4} \text{ pounds} = 532 \text{ square feet} \quad \text{and} \quad 1 \text{ pound} = A \text{ square feet}
   \]
   This gives us the equation:
   \[
   \frac{A}{1} = \frac{532}{\frac{7}{4}}
   \]

3. **Solve the equation:**
   To solve for \( A \), divide 532 by \( \frac{7}{4} \), which is equivalent to multiplying by the reciprocal:
   \[
   A = 532 \times \frac{4}{7} = \frac{532 \times 4}{7} = \frac{2128}{7} = 304
   \]
   Therefore, 1 pound of seeds will cover **304 square feet**.

Would you like further clarification or additional details on this process? Here are 5 questions for further practice:

1. How do you convert a mixed number into an improper fraction?
2. What is the method to solve proportions like the one in this problem?
3. How do you simplify fractions in equations involving units?
4. What is the importance of reciprocals in dividing fractions?
5. Can you create a word problem involving proportions and mixed numbers?

**Tip:** When dividing by a fraction, always multiply by its reciprocal to simplify calculations.

The label on a 1 3/4-pound bag of seeds states that it will cover an area of 532 square feet. What is the area that one pound of seeds will cover?

Learn how to solve a proportion problem involving mixed numbers. This example shows how to calculate the area covered by one pound of seeds, using a 1 3/4-pound bag that covers 532 square feet. Suitable for students in Grades 6-8.

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