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We are given the following information:

1. There is a $10 sales tax on an item that costs $115 before tax.
2. The sales tax on a second item is $24.
3. We need to determine how much the second item costs before tax.

To solve this, we can calculate the sales tax rate from the first item:

\[
\text{Sales tax rate} = \frac{\text{Sales tax}}{\text{Cost before tax}} = \frac{10}{115}
\]

Then, we can apply this rate to the second item to determine its cost before tax. Let the second item's cost before tax be denoted as $ x $:

\[
\frac{24}{x} = \frac{10}{115}
\]

Now, let's solve this equation to find $ x $, the cost before tax of the second item.The second item costs $276 before tax.

Would you like more details on how this was solved, or do you have any other questions?

Here are some related questions for further exploration:
1. How would the solution change if the tax rates differed between items?
2. How do you calculate the total price after tax for both items?
3. What is the percentage increase from the first item to the second in terms of price before tax?
4. How does the total sales tax compare between the two items?
5. How would a discount affect the price before and after tax?

**Tip:** Always double-check units when performing calculations with taxes or other financial details to avoid confusion!

There is a sales tax of $10 on an item that costs $115 before tax. The sales tax on a second item is $24. How much does the second item cost before tax?

Learn how to find the cost before tax of an item given its sales tax, using proportional reasoning. In this problem, the sales tax on the first item is $10, and the second item has a sales tax of $24. Suitable for students in Grades 7-9.

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