A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the better and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of $___ for dinner.
The total cost of the meal before taxes and gratuity would be:
Cost of meal (5 meals at $12.80 each) = 5 * $12.80 = $64
The tax on the meal would be:
Tax = 7.5% of $64 = 0.075 * $64 = $4.80
The total bill including tax would be:
Total bill = Cost of meal + Tax = $64 + $4.80 = $68.80
Then, they left a 15% gratuity on the after-tax bill:
Gratuity = 15% of $68.80 = 0.15 * $68.80 = $10.32
So, the total amount they paid for dinner would be:
Total = Total bill + Gratuity = $68.80 + $10.32 = $79.12
Therefore, the family paid a total of $79.12 for dinner at HogTastic Pit BBQ.