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 calculate how much each person pays, we’ll follow these steps:

  1. Calculate the sales tax.
  2. Calculate the tip.
  3. Calculate the total bill including tax and tip.
  4. Split the total bill among the three people.

Step 1: Calculate the sales tax

The sales tax in Florida is 6%. So, we calculate this on the original bill of $50.88:

\[ \text{Sales Tax} = 50.88 \times 0.06 = 3.0528 \]

Rounding to the nearest hundredth:

\[ \text{Sales Tax} = 3.05 \]

Step 2: Calculate the tip

The tip is 30% of the original bill:

\[ \text{Tip} = 50.88 \times 0.30 = 15.264 \]

Rounding to the nearest hundredth:

\[ \text{Tip} = 15.26 \]

Step 3: Calculate the total bill

Now, add the sales tax and tip to the original bill:

\[ \text{Total Bill} = 50.88 + 3.05 + 15.26 = 69.19 \]

Step 4: Split the total bill among the three people

Now, divide the total bill by 3 to find out how much each person pays:

\[ \text{Amount per person} = \frac{69.19}{3} = 23.0633 \]

Rounding to the nearest hundredth:

\[ \text{Amount per person} = 23.06 \]

Therefore, each person will pay $23.06.