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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding Equally Priced Movie Tickets

Very Hard Heart Of Algebra Systems Of Linear Equations And Inequalities

In a town, the cost of a movie ticket is represented by the equation:

$$ y = 12x + 5 $$

where $y$ is the total cost in dollars and $x$ is the number of tickets purchased.

At a local event, the cost of attending the movie changes according to the following linear equation:

$$ y = 15x - 10 $$

where $y$ is again the total cost in dollars. Determine how many tickets must be sold at both events for the total costs to be equal. What is that number of tickets?

Hint

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