Solving Systems of Equations

The video tutorial explains how to solve a problem involving the cost of museum admission for a group of adults and children. It uses a system of equations to determine the number of children who attended the museum. The tutorial defines variables for adults and children, sets up equations based on the given information, and solves the system using the substitution method. The solution reveals that 56 children attended the museum, and the process is explained step-by-step for clarity.

What is the cost of admission for an adult at the science museum?

• $10

• $12

• $16

• $14

How many people in total attended the field trip to the museum?

• 80

• 75

• 68

• 50

What variable is used to represent the number of children in the equations?

• c

• b

• a

• d

Which method is used to solve the system of equations in this problem?

• Matrix

• Substitution

• Graphing

• Elimination

What is the first step in the substitution method used in this problem?

• Solve for c in terms of a

• Multiply the equations

• Solve for a in terms of c

• Add the equations

What is the result of combining the like terms in the cost equation?

• Negative 4c

• Negative 2c

• Negative 3c

• Negative 5c

How many children attended the museum according to the solution?

• 56

• 54

• 52

• 50

What is the final step to find the number of adults who attended?

• Add the number of children to 68

• Multiply the number of children by 2

• Divide the number of children by 2

• Subtract the number of children from 68

How many adults attended the field trip?

• 10

• 12

• 16

• 14

What is the total cost for the group of 68 people?

• $800

• $700

• $750

• $784