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Digital SAT
Digital SAT Mathematics - No Calculator Section

Tickets Sold by Alex in a Ticket Sales Problem

Easy Heart Of Algebra Systems Of Linear Equations And Inequalities

Sam and Alex are each selling tickets for a school event. Sam sells each ticket for $5 and has sold a total of x tickets. Alex sells each ticket for $8 and has sold a total of y tickets. Together, they made a total of $74 from ticket sales. You can represent their combined sales with the equation:

$$5x + 8y = 74$$

If Sam sold 4 more tickets than Alex, you can express this relationship with the equation:

$$x = y + 4$$

To find out how many tickets Alex sold, solve the system of equations:

$$5x + 8y = 74$$

$$x = y + 4$$

Hint

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