What is the regular price of a ticket without tax?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Melinda works for the LMN airline company. She is traveling from Philadelphia to Phoenix and will pay only one-third the regular price of a plane ticket. However, she will pay the full price of the tax, which is 6%. With her discount, she will pay a total of $146.32, which includes tax. What is the regular price of a ticket without tax?
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Step 1

Let the regular price of the ticket = x $Tax paide by her = 6% of regular priceTax paide by her = 6100x = 0.06x $Amount paid by her for ticket after discount excluding tax = one third of regular priceAmount paid by her for ticket after discount excluding tax = 13x $Total amount paide by her including tax = 146.32 $

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