Question 1184064
Here's how to solve this problem:

**Let:**

* 'e' be the cost per unit of electricity.
* 'g' be the cost per unit of gas.

**Set up the equations:**

* **Equation 1 (Month 1):** 700e + 100g = 486
* **Equation 2 (Month 2):** 500e + 250g = 415

**Solve the equations:**

One way to solve this is using elimination:

1. **Multiply Equation 1 by 2.5:**
   1750e + 250g = 1215

2. **Subtract Equation 2 from the modified Equation 1:**
   (1750e + 250g) - (500e + 250g) = 1215 - 415
   1250e = 800

3. **Solve for e:**
   e = 800 / 1250
   e = 0.64

4. **Substitute the value of e back into either Equation 1 or 2 to solve for g. Let's use Equation 1:**
   700(0.64) + 100g = 486
   448 + 100g = 486
   100g = 38
   g = 0.38

**Answer:**

The cost per unit of gas is $0.38.