Atrip, including hotel and air, is priced at $324.34 after tax. if the tax rate is 14%, calculate the price before tax that will result in this tax-included amount.

Let's consider the original price of the trip (the price without tax) to be . Tax is 14% of this price, or . The price of the trip including tax is equal to the price of the trip without tax + the tax of the trip. In an equation this would be , or .

By the information in the problem, we can say . Since we are trying to find , we need to isolate in the left side of our equation, meaning we must remove the 1.14. To do this, we will divide both sides of the equation by 1.14:

The price of the trip without tax would be $284.51 after rounding to the nearest hundredth.

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step-by-step explanation: