Bob recently visited a computer toy store and spent a total of $126.00 which included 5% sales tax. What was the pre-tax cost of the items he purchased? (Hint - define pretax cost as "X" and solve for "X").

To find the pre-tax cost of the items Bob purchased, we can follow the steps below:

1. **Define the pre-tax cost** as $ X $.

2. **Sales tax is 5%** of the pre-tax cost, so the total cost including tax can be written as:
   \[
   \text{Total Cost} = X + 0.05X
   \]

3. **Simplify the equation**:
   \[
   \text{Total Cost} = 1.05X
   \]

4. **Given the total cost is $126.00**, we can set up the equation:
   \[
   1.05X = 126.00
   \]

5. **Solve for $ X $**:
   \[
   X = \frac{126.00}{1.05}
   \]
   \[
   X = 120.00
   \]

So, the pre-tax cost of the items Bob purchased is **$120.00**.

Would you like more details on this solution, or do you have any questions?

Here are some related questions for further practice:
1. If the sales tax rate was 7%, what would the pre-tax cost be for a $150.00 total?
2. What is the sales tax amount if the pre-tax cost is $200 and the tax rate is 6%?
3. If the pre-tax cost was $90, what would the total cost be with a 4% sales tax?
4. How would the total cost change if the tax rate increased to 10% for the same pre-tax cost?
5. What would the pre-tax cost be if Bob's total spending was $210 with an 8% sales tax?

**Tip:** Always check if the total cost includes tax before calculating the pre-tax price.

Learn how to calculate the pre-tax cost of items using a 5% sales tax. This problem involves basic arithmetic and percentages. Suitable for students in Grades 5-6.

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