Brandon goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 6% is applied to the bill. Brandon decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Brandon paid.

Answer 1

To find the total amount that Brandon paid, we can break down the problem into steps.

1. Calculate the tax on the bill: The tax is 6% of the subtotal (xx). Thus, the tax amount is: \[ 0.06 \cdot xx \]

2. Calculate the total bill including tax: The total bill (T) after adding the tax to the subtotal is: \[ T = xx + 0.06 \cdot xx = xx(1 + 0.06) = xx \cdot 1.06 \]

3. Calculate the tip: The tip is 15% of the total bill (T): \[ \text{Tip} = 0.15 \cdot T = 0.15 \cdot (xx \cdot 1.06) = 0.159 \cdot xx \]

4. Calculate the total amount paid: The total amount paid (Total) is the total bill (T) plus the tip: \[ \text{Total} = T + \text{Tip} = xx \cdot 1.06 + 0.159 \cdot xx \]

Now, we can factor out xx from both terms: \[ \text{Total} = xx(1.06 + 0.15) = xx(1.21) \]

Therefore, the total amount that Brandon paid is: \[ \text{Total} = 1.21 \cdot xx \]

So, the final expression representing the total amount that Brandon paid in terms of xx is: \[ \text{Total} = 1.21xx \]