1. Three pounds of potatoes make eight equal-size servings of mashed potatoes. How many pounds of potatoes are in each serving? Represent the situation with a model. Then solve

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UpStudy AI · Accepted Answer

To determine how many pounds of potatoes are in each serving, we'll start by modeling the situation and then solve for the unknown value.

### **Modeling the Situation**

1. **Identify the Total Quantity:**
   - **Total Pounds of Potatoes:** 3 pounds

2. **Total Number of Servings:**
   - **Servings:** 8

3. **Determine the Quantity per Serving:**
   - Let’s denote the pounds of potatoes per serving as $$ x $$.

4. **Set Up the Equation:**
   $$
   \text{Total Pounds} = \text{Number of Servings} \times \text{Pounds per Serving}
   $$
   Substituting the known values:
   $$
   3 \, \text{pounds} = 8 \times x
   $$

### **Solving the Equation**

To find the value of $$ x $$ (pounds of potatoes per serving), we'll solve the equation:

$$
3 = 8x
$$

1. **Isolate $$ x $$:**
   $$
   x = \frac{3}{8}
   $$

2. **Calculate the Value:**
   $$
   x = 0.375 \, \text{pounds}
   $$

3. **Convert to Ounces (Optional):**
   Since there are 16 ounces in a pound, you might want to express 0.375 pounds in ounces for a more tangible measure.
   $$
   0.375 \, \text{pounds} \times 16 \, \frac{\text{ounces}}{\text{pound}} = 6 \, \text{ounces}
   $$

### **Conclusion**

Each serving contains **$$\frac{3}{8}$$ pounds** of potatoes, which is equivalent to **0.375 pounds** or **6 ounces**.

---

### **Visual Representation**

To better understand the distribution, consider the following:

- **Total Potatoes:** 🍠🍠🍠 (3 pounds)
- **Total Servings:** 8

Imagine dividing the 3 pounds of potatoes equally among 8 servings:

$$
\frac{3 \, \text{pounds}}{8 \, \text{servings}} = \frac{3}{8} \, \text{pounds per serving}
$$

This ensures that each of the 8 servings receives an equal amount of mashed potatoes.
Each serving contains 0.375 pounds of potatoes, which is 6 ounces.

Three pounds of potatoes make eight equal-size servings
of mashed potatoes. How many pounds of potatoes are in
each serving? Represent the situation with a model. Then solve

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