Solving Real-World Problems with Systems of Equations

The video tutorial covers applying systems of equations to solve real-world problems. It includes examples such as determining the number of cookie packages bought, calculating the number of croissant packages, finding the cost of bushes and trees from nursery orders, and determining ticket prices. Each problem is solved step-by-step, demonstrating how to define variables, set up equations, and use elimination to find solutions.

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

• Defining the variables

• Solving the equations

• Graphing the equations

• Checking the solution

If Emily bought 16 packages of cookies in total, which equation represents this information?

• 17x + y = 16

• 17x + 6y = 140

• x + y = 140

• x + y = 16

In the cookie problem, what does the equation 17x + 6y = 140 represent?

• The total cost of the cookies

• The number of sugar cookies

• The total number of cookies bought

• The number of chocolate chip cookies

How many packages of chocolate chip cookies did Emily buy?

• 6

• 16

• 4

• 12

In the croissant problem, what does the variable y represent?

• Packages with 4 croissants

• Total cost of croissants

• Packages with 6 croissants

• Total number of croissants

How many packages with 6 croissants did Bobby buy?

• 17

• 4

• 12

• 29

In the bushes and trees problem, what does the equation 13x + 4y = 487 represent?

• The total number of bushes and trees

• The cost of one tree

• The cost of one bush

• The total cost of the first order

What is the cost of one bush?

• $23

• $53

• $13

• $6

In the ticket price problem, what does the variable x represent?

• Price of a child ticket

• Price of an adult ticket

• Total number of tickets

• Total cost of tickets

What is the price of a child ticket?

• $9

• $4

• $7

• $5