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Digital SAT
Digital SAT Mathematics - No Calculator Section

Theater Ticket Price Calculation

Hard Heart Of Algebra Linear Equations And Inequalities

A theater ticket pricing scheme is as follows: The base ticket price is $x$, and there is an additional $5 charge for every premium seat selected. If a customer purchases 3 standard tickets and 4 premium tickets, the total cost is $65. Additionally, if the customer decides to buy 2 more standard tickets, the total cost becomes $85.

Given this information, what is the value of $$x$$, the base ticket price?

Hint

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