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Let's break down the problem and determine how many pounds of pecans are needed to make 10 pecan pies.

### Step-by-Step Solution:

1. **Pecans Needed Per Pie:**
   - The recipe calls for $ 1 \frac{3}{4} $ cups of pecans per pie.
   - Converting the mixed number to an improper fraction:  
   \[
   1 \frac{3}{4} = \frac{7}{4} \text{ cups of pecans per pie.}
   \]

2. **Total Pecans Needed for 10 Pies:**
   - If you are making 10 pies, the total amount of pecans needed is:
   \[
   10 \times \frac{7}{4} = \frac{70}{4} = 17.5 \text{ cups of pecans.}
   \]

3. **Pecans in a Pound:**
   - According to the nutrition facts, a serving size is 1 cup, and there are 9 servings per container. So, the container holds 9 cups of pecans.
   - If the container is 1 pound (or 16 ounces), then 1 pound of pecans is equivalent to 9 cups.

4. **Convert Cups to Pounds:**
   - To find out how many pounds 17.5 cups is, we use the ratio:
   \[
   \text{Pounds needed} = \frac{17.5 \text{ cups}}{9 \text{ cups per pound}} \approx 1.94 \text{ pounds.}
   \]

### Conclusion:
You will need to buy approximately **1.9 pounds of pecans** to make 10 pecan pies.

Would you like more details or have any questions?  

#### Related Questions:
1. What if the recipe required 2 cups of pecans per pie? How many pounds would you need?
2. How many cups of pecans would you need if you decided to make 15 pecan pies?
3. If the price of pecans is $8 per pound, how much would the total cost be?
4. How would the calculation change if the nutrition label listed a different number of cups per pound?
5. How can you convert cups to grams if you have the density of pecans?

#### Tip:
Always double-check the serving size and total servings on nutritional labels for accurate calculations.

The grocery store has bulk pecans on sale, which is great since you’re planning on making 10 pecan pies for a wedding. How many pounds of pecans should you buy?

Calculate the number of pounds of pecans needed to make 10 pecan pies. Learn about measurement conversion, multiplication, and division to solve this practical math problem.

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