Solving Systems of Equations

In this Friendly Math 101 tutorial, the instructor teaches how to write and solve systems of equations using a word problem involving ticket sales. The problem involves determining the number of adult and children tickets sold, given the total number of tickets and total revenue. The instructor defines variables, sets up equations, and uses the elimination method to solve for the number of children tickets sold. The lesson concludes with a prompt to subscribe for more tutorials.

What is the main focus of today's lesson in Friendly Math 101?

• Understanding fractions

• Writing and solving systems of equations

• Solving quadratic equations

• Learning about geometry

In the word problem, what is the total number of tickets sold?

• 105

• 150

• 200

• 250

How much total revenue was generated from the ticket sales?

• $700

• $800

• $675

• $500

What is the cost of an adult ticket?

• $12

• $7

• $10

• $5

What is the cost of a children's ticket?

• $3

• $5

• $7

• $9

What variable is used to represent adult tickets?

• A

• D

• B

• C

What variable is used to represent children's tickets?

• X

• Z

• C

• Y

Which equation represents the total number of tickets sold?

• 7A + 5C = 675

• A + C = 105

• A - C = 105

• 7A - 5C = 675

Which equation represents the total revenue from ticket sales?

• 7A + 5C = 675

• 5A + 7C = 675

• A + C = 105

• A - C = 675

What is the first step in solving the system of equations?

• Subtract equations

• Define variables

• Multiply equations

• Add equations