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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 dollars and 60 cents
b 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
c 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
d 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents

Respuesta :

|| ▼ Answer ▼ ||

Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents

|| ✪ Solution ✪ ||

Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:

[tex]4x+89.95=628.35-- > (1)[/tex]

The solution to equation (1) is as follows:

[tex]4x=628.35-89.95=538.4[/tex]

[tex]x=\frac{538.4}{4} =134.6[/tex]

[tex]x=134.6[/tex]

x = $134 and 60 cents

Conclusion: The answer is Option (a).

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