Final answer:
To find the original price of the pants, divide the total price of the shoes with tax by 1 plus the tax rate. Then, set up an equation to find the original price of the pants by adding the final price of the shirt to the price of the pants. None of the provided options is the correct answer.
Step-by-step explanation:
To find the original price of the pants, we first need to find the price of the shoes without the tax. Since Jose purchased the shoes for $109, which included tax, we can calculate the price before tax by dividing the total by 1 plus the tax rate:
Price before tax = $109 / (1 + 0.09) = $100
Next, we need to find the price of the shirt before the 20% discount. Let's assume the original price of the shirt is X. After the discount, the price of the shirt is 80% of X, which is 0.8X:
Final price of the shirt = 0.8X
Finally, we can set up an equation by adding the price of the pants (P) to the final price of the shirt, which equals the original price of the pants:
P + 0.8X = $100
We know that the price of the shirt after the discount is $100 - $109 = -$9, which means the original price of the pants must be -$9. However, this doesn't make sense. Therefore, there is an error in the given options. None of the options provided is the correct answer.