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