Question

You have $30 you can spend for a pair of jeans. You have to pay a 6.5% sales tax. What is the maximum price of jeans that can be, so that you won't exceed $30 after the tax is added?

A. $28.17

B. $28.26

C. $28.35

D. $28.44

Answer 1

To stay within a $30 budget including 6.5% sales tax for a pair of jeans, one must determine the maximum pre-tax price by dividing the total by 1.065. The result is $28.17, which is the maximum price of the jeans before sales tax to avoid exceeding the budget.

Step-by-step explanation:

To calculate the maximum price of jeans you can buy without exceeding a total of $30 after including a 6.5% sales tax, you would follow these steps:

1. Convert the sales tax percentage to decimal form by dividing by 100 (6.5% becomes 0.065).
2. Let the price of the jeans before tax be represented by x.
3. Calculate the total cost of the jeans, including tax, with the equation x + (x × 0.065) = $30.
4. Rearrange the equation to solve for x: x × (1 + 0.065) = $30, which simplifies to x × 1.065 = $30.
5. Divide both sides by 1.065 to find x: x = $30 / 1.065.
6. Calculate x to find the maximum price before tax: x = $28.17 (rounded to the nearest penny).

Therefore, the maximum price of the jeans before tax is $28.17, which is answer option A.