Question

Dominic goes out to lunch. The bill, before tax and tip, was $16.20. A sales tax of 5.5% was added on. Dominic tipped 15% on the amount after the sales tax was added. The total cost of the meal plus tip and tax was more than the cost of the bill by what percent?

Answer 1

Dominic's meal cost increased by approximately 21.32% after adding a 5.5% tax and a 15% tip to the original bill of $16.20.

Step-by-step explanation:

Calculating the Total Cost of a Meal with Tax and Tip

Dominic's original bill was $16.20. First, we calculate the sales tax by converting the percentage to a decimal and multiplying by the cost of the meal. The sales tax is 5.5%, or 0.055 as a decimal, so we calculate $16.20 × 0.055 = $0.891. The new total after adding tax is $16.20 + $0.891 = $17.091.

Next, we calculate the tip. Dominic decides to tip 15%, which we convert to a decimal (0.15) and multiply by the new total including tax. This gives us a tip of $17.091 × 0.15 = $2.56365. Adding this tip to the total after tax gives us $17.091 + $2.56365 = $19.65465.

To find the percentage increase from the original amount to the total amount with tax and tip, we subtract the original amount from the total and divide by the original amount:
($19.65465 - $16.20) ÷ $16.20 = $3.45465 ÷ $16.20 = 0.213247, which is about 21.32%. Thus, the total cost of the meal plus tip and tax was more than the cost of the bill by approximately 21.32%.