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)

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1 answer

To determine how much each person pays, we need to first calculate the tax and tip based on the original bill of $50.88, then find the total amount they need to pay, and finally divide that by three.

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

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

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

  4. Calculate the amount each person pays: \[ \text{Amount per person} = \frac{\text{Total Amount}}{3} = \frac{69.19}{3} = 23.0633 \] Rounding this to the nearest hundredth, we get: \[ \text{Amount per person} = 23.06 \]

Thus, each person will pay $23.06.