Final answer:
To find the total cost, including sales tax and tip, calculate each component separately and then add them together. The sales tax is 8 1/4% of the bill amount. The tip is 20% of the pre-tax amount. The total amount paid is the sum of the bill amount, sales tax, and tip.
Step-by-step explanation:
To find the total cost, including sales tax and tip, we need to calculate each component separately and then add them together.
First, let's find the sales tax. The bill for dinner is $22.50 and the sales tax is 8 1/4%. To calculate the sales tax, we convert the percentage to a decimal and then multiply it by the bill amount:
Sales tax = 8 1/4% * $22.50
= 0.0825 * $22.50
= $1.85 (rounded to the nearest cent)
Next, let's find the tip on the pre-tax amount. The pre-tax amount is $22.50. The tip percentage is 20%. To calculate the tip, we convert the percentage to a decimal and then multiply it by the pre-tax amount:
Tip = 20% * $22.50
= 0.20 * $22.50
= $4.50
Finally, to find the total amount paid, we add the bill amount, the sales tax, and the tip amount:
Total amount = $22.50 + $1.85 + $4.50
= $29.85
Therefore, the total amount you will pay, including sales tax and tip, is $29.85.