The sheng family had dinner at their favorite restaurant. a 4% sales tax was added to their bill. amy paid the bill with a $25 gift certificate plus $44.80. how much did the family's dinner cost before tax? round your answer to the nearest penny.

$67.12

Step-by-step explanation:

The total cost including tax is the sum of the $25 gift certificate amount and the additional $44.80.

total cost including tax = $25 + $44.80 = $69.80

The cost before tax is unknown, so let x = cost before tax.

x is 100% of the cost of the dinner before tax.

Since the tax is 4%, the additional tax is 4% of x, or 0.04x.

The total cost including tax is x + 0.04x = 1.04x.

The total cost including tax is $69.80, so

1.04x = 69.80

Divide both sides by 1.04:

x = 67.11538...

The cost before tax was $67.12.

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step-by-step explanation:

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