Discovering the Cost of Anja's Cavity Filling
What was the total cost of Anja's trip to the dentist?
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
A) 4 x 89.95 = 628.35; x = $134.60
B) 4(89.95) x = 628.35; x = $268.55
C) 4 x 89.95 = 628.35; x = $179.58
D) 4(89.95) x = 628.35; x = $538.40
Answer:
The correct option is A) 4 x 89.95 = 628.35; x = $134.60.
To determine the cost of each cavity filling, we need to set up an equation based on the given information. Anja's total cost includes the flat fee and the cost of the 4 cavity fillings, which equals $628.35.
Let x be the cost of each cavity filling. So, the equation becomes: 89.95 + 4x = 628.35.
Solving for x, we subtract the flat fee from the total cost: 4x = 628.35 - 89.95 = 538.40.
Dividing both sides by 4, we find that x = 134.60. Therefore, the cost of each cavity filling is $134.60.
Equations are a fundamental tool in mathematics to express equality between expressions with variables, allowing us to solve for unknown values like in this scenario with Anja's dental visit.