Ticket Sales and Equations

The video tutorial explains how to solve a ticket sales problem where the total revenue is $24,648. Preferred seats cost $48, and all 245 were sold. Regular seats cost $36. The tutorial guides viewers through defining variables, formulating an equation, simplifying it, and solving for the total number of tickets sold, which is 603. It also demonstrates how to calculate the number of regular tickets sold, which is 358.

What is the total amount of money collected from ticket sales?

• $36,972

• $24,648

• $12,324

• $48,000

How much does a preferred seat ticket cost?

• $24

• $48

• $36

• $60

What variable is used to represent the total number of tickets sold?

• r

• p

• t

• x

How many preferred tickets were sold?

• 400

• 603

• 358

• 245

What is the expression used to represent the number of regular tickets sold?

• 245 - t

• t - 245

• t / 245

• t + 245

What is the result of distributing 36 in the equation?

• 36t + 8820

• 36t - 8820

• 36t + 245

• 36t - 245

What is the simplified equation after combining like terms?

• 24,648 = 36t - 2,940

• 24,648 = 36t + 2,940

• 24,648 = 36t + 11,760

• 24,648 = 36t - 11,760

What is the total number of tickets sold?

• 358

• 400

• 245

• 603

What is the final step to solve for the total number of tickets sold?

• Add 36 to both sides

• Subtract 2,940 from both sides

• Divide both sides by 36

• Multiply both sides by 36

How many regular tickets were sold?

• 245

• 358

• 603

• 400