Cost and Ticketing Problem Solving

The video tutorial explains how to solve a problem involving the cost of movie tickets for families. It introduces the problem, defines variables for child and adult ticket costs, and sets up linear equations. The tutorial demonstrates solving the equations using the elimination method, correcting mistakes along the way, and concludes with finding the cost of a child's ticket.

What is the total cost for a family of four adults and three children to watch a movie?

• $40

• $50

• $36

• $47

How many adults are in the second family mentioned in the problem?

• One

• Two

• Three

• Four

How many children are in the second family?

• Four

• Two

• Three

• Five

What variable is used to represent the cost of a child's ticket?

• X

• Z

• Y

• A

What is the equation for the first family in terms of X and Y?

• 3X + 4Y = 47

• 4X + 3Y = 47

• 3X + 2Y = 36

• 2X + 4Y = 36

What is the equation for the second family in terms of X and Y?

• 4X + 3Y = 47

• 2X + 4Y = 36

• 3X + 4Y = 47

• 4X + 2Y = 36

Why is the elimination method chosen over substitution in this problem?

• It allows solving for one variable directly.

• It is the only method applicable.

• It is easier to solve for both variables.

• It requires fewer calculations.

What is the least common multiple (LCM) of the coefficients of X in the equations?

• 6

• 9

• 15

• 12

What is the purpose of finding the LCM in the elimination method?

• To check for errors

• To find the solution directly

• To make coefficients equal

• To simplify the equations

What mistake was made during the initial attempt to solve the equations?

• Forgetting to add equations

• Incorrect multiplication

• Using the wrong method

• Isolating the wrong variable