Equation B: b = (52.50 - 9) / 3, is the correct equation to find the price of each book and the correct option is B.
Let's analyze the equations one by one:
A. b = 52.50 - 9
This equation subtracts the cost of the calendar ($9) from the total amount spent ($52.50). However, it does not account for the cost of the three books. Therefore, this equation is incorrect.
B. b = (52.50 - 9) / 3
This equation subtracts the cost of the calendar ($9) from the total amount spent ($52.50) and then divides the result by 3. This is the correct equation, as it calculates the cost of each book by dividing the total cost remaining after purchasing the calendar by the number of books.
C. 3b = 52.50 - 9
This equation multiplies the cost of each book (b) by 3 and then subtracts the cost of the calendar ($9) from the total amount spent ($52.50). This equation is equivalent to equation B, as multiplying both sides of equation B by 3 will result in equation C.
D. b = 52.50 / 3
This equation divides the total amount spent ($52.50) by 3. This equation does not consider the cost of the calendar and will not provide the correct price of each book.
Therefore, the only equation that could be used to find the price of each book (b) is B. b = (52.50 - 9) / 3.
Question:
Christopher spent a total of $52.50 at a bookstore. He purchased a calendar for $9 and three books that each cost the same amount (let b be the price of each book). Which of the following equations could be used to find b?
A. b = 52.50 - 9
B. b = (52.50 - 9) / 3
C. 3b = 52.50 - 9
D. b = 52.50 / 3