Question

What equals $75 for front yard mowing and back yard mowing and Edging? I would like more money for the back yard.

Answer 1

To find a pricing structure that equals $75 while placing more value on mowing the backyard compared to the front yard and edging, we can assign variables to the costs:

- Let \( x \) be the cost for front yard mowing.
- Let \( y \) be the cost for backyard mowing.
- Let \( z \) be the cost for edging.

We know the total should equal $75:

\[
x + y + z = 75
\]

Since you would like the backyard mowing to be more expensive than the front yard mowing, we can set a condition:

\[
y > x
\]

### Example Pricing Structure
Let's propose a pricing structure based on these variables:

1. **Front yard mowing (x)**: $20
2. **Back yard mowing (y)**: $40
3. **Edging (z)**: $15

Now, we check if these values satisfy both the total and the condition:

\[
x + y + z = 20 + 40 + 15 = 75
\]

And check the condition:

\[
y (40) > x (20) \quad \text{(True)}
\]

Therefore, this pricing structure meets your conditions:

- **Front yard mowing**: $20
- **Back yard mowing**: $40
- **Edging**: $15

You can adjust \( x \), \( y \), and \( z \) further while ensuring the total remains $75 and \( y \) remains greater than \( x \). Here’s another example:

### Another Example
- **Front yard mowing**: $25
- **Back yard mowing**: $45
- **Edging**: $5

Check:

\[
x + y + z = 25 + 45 + 5 = 75
\]
\[
y (45) > x (25) \quad \text{(True)}
\]

This combination also fulfills your requirements. You can explore further combinations based on your specific preferences!