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) $

1 answer

To determine how much each person will pay, we will first calculate the tax and tip based on the original bill total, then find the total amount and divide it by the number of people.

  1. Calculate the sales tax: \[ \text{Sales Tax} = \text{Bill Total} \times \text{Sales Tax Rate} = 50.88 \times 0.06 \] \[ \text{Sales Tax} = 3.0528 \] Rounding to the nearest hundredth: \[ \text{Sales Tax} = 3.05 \]

  2. Calculate the tip: \[ \text{Tip} = \text{Bill Total} \times \text{Tip Rate} = 50.88 \times 0.30 \] \[ \text{Tip} = 15.264 \] Rounding to the nearest hundredth: \[ \text{Tip} = 15.26 \]

  3. Calculate the total amount to be paid: \[ \text{Total Bill} = \text{Bill Total} + \text{Sales Tax} + \text{Tip} \] \[ \text{Total Bill} = 50.88 + 3.05 + 15.26 = 69.19 \]

  4. Divide the total by the number of people: \[ \text{Amount per Person} = \frac{\text{Total Bill}}{\text{Number of People}} = \frac{69.19}{3} \] \[ \text{Amount per Person} \approx 23.0633 \] Rounding to the nearest hundredth: \[ \text{Amount per Person} = 23.06 \]

Thus, each person will pay $23.06.