Understanding the Cost of the Book Problem

The video tutorial addresses a common math problem involving the cost of a book. It begins by explaining the incorrect approach of simply adding $1 to half a dollar. The correct method is then introduced, defining the cost of the book as a variable and setting up an equation to solve for it. The tutorial walks through solving the equation step-by-step, ultimately finding that the book costs $2. The video concludes with a summary of the solution.

What is a common mistake when trying to solve the book cost problem?

• Assuming the book costs $1.50

• Using a variable to represent the cost

• Subtracting instead of adding

• Multiplying instead of dividing

In the correct approach, what does the variable C represent?

• The cost of the book plus $1

• The cost of half the book

• The total cost of the book

• The cost of the book minus $1

How is the equation set up to solve for the cost of the book?

• C = 1 + 0.5C

• C = 1 + 0.5

• C = 1 - 0.5C

• C = 0.5C - 1

What is the first step in solving the equation C = 1 + 0.5C?

• Add 0.5C to both sides

• Subtract 0.5C from both sides

• Multiply both sides by 2

• Divide both sides by 0.5

After simplifying the equation, what operation is used to solve for C?

• Multiplication

• Subtraction

• Addition

• Division

What is the final cost of the book after solving the equation?

• $1.50

• $3.00

• $2.00

• $2.50

What is the equivalent operation to dividing by a fraction?

• Dividing by the reciprocal

• Multiplying by the reciprocal

• Subtracting the reciprocal

• Adding the reciprocal

What is the reciprocal of 0.5?

• 1

• 2

• 0.25

• 0.5