A clothing store advertises that at $45 \%$ off, you are saving $\$ 22.5$ on a pair of jeans. But this week there is an additional $15 \%$ off. What is the price that you will pay if you purchase the jeans this week?
\[
\text { Answer }=\$ \square \text { (rounded to the nearest cent) }
\]

Step 1 ：First, we need to calculate the original price of the jeans. We know that at $45 \%$ off, we are saving $\$ 22.5$. Therefore, we can calculate the original price by dividing the savings by the discount rate, which gives us $\$ 22.5 / 0.45 = \$ 50.0$.

Step 2 ：Next, we need to calculate the final price of the jeans. This week there is an additional $15 \%$ off, so the total discount is $45 \% + 15 \% = 60 \%$. We can calculate the final price by multiplying the original price by the remaining percentage after the discount, which gives us $\$ 50.0 * (1 - 0.60) = \$ 20.0$.

Step 3 ：Final Answer: The price that you will pay if you purchase the jeans this week is \(\boxed{\$20.0}\).