Marble Counting and Equations

The video tutorial explains how to solve a problem involving a bag of marbles, where there are 73 marbles in total, with nine more green marbles than blue marbles. The tutorial guides through defining variables, setting up equations, and solving them using substitution to find the number of blue and green marbles. The solution is verified by checking the conditions given in the problem.

What is the total number of marbles in the bag?

• 91

• 82

• 73

• 64

How many more green marbles are there compared to blue marbles?

• 5

• 7

• 9

• 11

What variable is used to represent the number of blue marbles?

• N

• M

• B

• G

Which equation represents the total number of marbles in the bag?

• B + G = 82

• B + G = 91

• B + G = 73

• B + G = 64

What method is used to solve the system of equations?

• Elimination

• Graphing

• Substitution

• Matrix

After substitution, what is the equation used to find the number of blue marbles?

• 2B = 73

• 2B = 91

• 2B = 64

• 2B = 82

How many blue marbles are there in the bag?

• 33

• 30

• 31

• 32

What is the equation used to find the number of green marbles after finding the number of blue marbles?

• G = B + 10

• G = B + 9

• G = B + 8

• G = B + 7

How many green marbles are there in the bag?

• 39

• 42

• 40

• 41

Do the values of blue and green marbles satisfy both equations?

• Neither equation

• Only one equation

• No

• Yes