Exploring System of Equations Coin and Ticket Problems

The video tutorial covers solving systems of equations through word problems, focusing on coin and ticket problems. It begins with an introduction to the topic, followed by a detailed walkthrough of setting up and solving a coin problem involving nickels and dimes. The tutorial then transitions to a ticket problem, demonstrating similar steps to solve for the number of student and adult tickets sold. The video emphasizes identifying important facts, defining variables, and using equations to find solutions.

What is the first step in solving a word problem involving systems of equations?

• Identify the important facts

• Write the equations

• Define the variables

• Solve the equations

In the coin problem, how many total coins does Mr. Burlando have?

• 24

• 28

• 30

• 32

What variable is used to represent the number of nickels in the coin problem?

• N

• Y

• D

• X

How much is a nickel worth in cents?

• 5 cents

• 1 cent

• 25 cents

• 10 cents

What is the equation for the total value of the coins in the coin problem?

• 5N + 10D = 260

• N + D = 28

• N + D = 260

• 5N + 10D = 28

How many nickels does Mr. Burlando have?

• 24

• 4

• 30

• 28

How many dimes does Mr. Burlando have?

• 30

• 28

• 24

• 4

In the ticket problem, how many total tickets were sold?

• 1740

• 150

• 380

• 530

What is the cost of a student ticket?

• $5

• $3

• $2

• $4

How many adult tickets were sold in the ticket problem?

• 150

• 380

• 530

• 1740