This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
$45
Step 1: Identify the given information. The sale price of the jacket is 15%$.
Step 2: Determine the percentage of the original price that the sale price represents. If the price is reduced by , the sale price is of the original price.
Step 3: Set up an equation to find the original price. Let be the original price.
Step 4: Solve for . Divide the sale price by the percentage (as a decimal) it represents.
b) ii) The original price of the jacket is \boxed{\45}$.
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Identify the given information. The sale price of the jacket is 38.25.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.