Amusement Park Admission and Equations

The video tutorial explains how to solve a problem involving admission fees at an amusement park. It sets up a system of equations to determine the number of children and adults admitted, using the substitution method to solve the equations. The solution is verified by graphing the equations and finding the intersection point, confirming the number of children and adults admitted.

What is the admission fee for children at the amusement park?

• $10.00

• $15.50

• $20.00

• $25.00

How many people entered the park on the given day?

• 300

• 250

• 217

• 200

What does the variable X represent in the equations?

• Number of adults

• Total people

• Total fees collected

• Number of children

Which method is used to solve the system of equations in this problem?

• Matrix method

• Trial and error

• Graphical method

• Substitution method

What is the first step in the substitution method used here?

• Subtract X from both sides

• Subtract Y from both sides

• Multiply both sides by 2

• Add X to both sides

What is the total number of children admitted to the park?

• 150

• 124

• 93

• 217

How many adults were admitted to the park?

• 150

• 124

• 93

• 217

What is the result of dividing -558 by -4.5?

• 124

• 93

• 217

• 0

What does the point of intersection on the graph represent?

• Total fees collected

• Total number of people

• Admission fee for adults

• Number of children and adults

What is verified by the graphical representation of the equations?

• The total fees collected

• The number of children and adults

• The method used to solve the equations

• The admission fee for children