It looks like you're working on a homework question about sales tax. The question asks:

"Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?"

Let's solve it.

Step-by-Step Calculation:

1. Determine the sales tax amount: $\text{Sales Tax} = \text{Price} \times \frac{\text{Tax Rate}}{100}$ $\text{Sales Tax} = 124.35 \times \frac{6.75}{100} = 124.35 \times 0.0675 = 8.39$

2. Calculate the total cost: $\text{Total Cost} = \text{Price} + \text{Sales Tax}$ $\text{Total Cost} = 124.35 + 8.39 = 132.74$

So, the total cost is $132.74.

Let me know if you'd like further details, or have questions about any part of the process!

Here are 5 related questions to deepen your understanding:

1. How would you calculate the total if the tax rate was 8.5% instead of 6.75%?
2. What would happen if the purchase amount was $200 instead of $124.35?
3. How can you calculate the tax amount directly as a percentage of the total?
4. What is the importance of understanding sales tax in everyday transactions?
5. How would you solve this problem using an equation format?

Tip: Always double-check your rounding when working with money, especially in taxes or financial math!