Ken, Mike, and Ariel are eating out at their favorite restaurant. They each order a sandwich combo and plan to split the bill evenly. The service they receive at the restaurant is amazing, so they decide to leave a 30% tip. Their bill total is $50.88 before tax. If Florida’s sales tax is 6%, how much will each person pay? Both tip and tax are calculated based on the original total of the bill. Round the tip and the tax to the nearest hundredth immediately after calculating. Round your final answer to the nearest hundredth.(1 point) .

Answer 1

To find out how much each person will pay, we first need to calculate the total amount of the bill, including sales tax and the tip.

1. Calculate the sales tax: The sales tax in Florida is 6%. To find the sales tax on the bill of $50.88, we can use the formula: \[ \text{Sales Tax} = \text{Total Bill} \times \text{Tax Rate} = 50.88 \times 0.06 = 3.0528 \] Rounding this to the nearest hundredth gives us: \[ \text{Sales Tax} \approx 3.05 \]

2. Calculate the tip: The tip is 30% of the original bill. We calculate the tip as follows: \[ \text{Tip} = \text{Total Bill} \times \text{Tip Rate} = 50.88 \times 0.30 = 15.264 \] Rounding this to the nearest hundredth gives us: \[ \text{Tip} \approx 15.26 \]

3. Calculate the total amount due: The total amount due after adding the sales tax and the tip to the original bill is: \[ \text{Total Amount Due} = \text{Total Bill} + \text{Sales Tax} + \text{Tip} = 50.88 + 3.05 + 15.26 \] Performing the addition: \[ 50.88 + 3.05 = 53.93 \] \[ 53.93 + 15.26 = 69.19 \]

4. Calculate the amount each person pays: Since Ken, Mike, and Ariel are splitting the total evenly among three people, we can calculate: \[ \text{Amount per Person} = \frac{\text{Total Amount Due}}{3} = \frac{69.19}{3} \approx 23.0633 \] Rounding to the nearest hundredth gives us: \[ \text{Amount per Person} \approx 23.06 \]

Thus, each person will pay approximately $23.06.