Amusement Park Revenue and Fees

The video tutorial explains how to solve a problem involving admission fees at an amusement park. It begins by setting up expressions for the number of children and adults based on given data. An equation is formulated using these expressions and the total fees collected. The tutorial then demonstrates how to solve the equation step-by-step to find the number of children and adults. Finally, the solution is verified to ensure accuracy.

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

• $5.00

• $3.50

• $4.25

• $6.00

How many people entered the amusement park on the given day?

• 200

• 311

• 150

• 400

If x represents the number of children, how can we express the number of adults?

• x - 311

• 311 + x

• 311 - x

• x + 311

What is the equation used to calculate the total fees collected?

• 4.25x + 5x = 1438

• 5x + 4.25(311 - x) = 1438

• 4.25x + 5(311 - x) = 1438

• 5x + 4.25x = 1438

What is the first step in solving the equation?

• Subtract 311

• Combine like terms

• Add 1438

• Distribute the 5

After distributing, what is the simplified form of the equation?

• 4.25x - 5x = 1438

• 5x - 4.25x = 1438

• 4.25x + 5x = 1438

• 4.25x + 1555 - 5x = 1438

What is the value of x, representing the number of children?

• 158

• 156

• 155

• 157

How many adults entered the park?

• 156

• 155

• 158

• 157

What is the purpose of verifying the solution?

• To find the number of children

• To calculate the number of adults

• To determine the ticket price

• To check if the total fees match

What is the total revenue collected from the amusement park?

• $1200

• $1600

• $1500

• $1438