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Chee goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Chee decides to leave a tip of 16% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Chee paid.

Question

Chee goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Chee decides to leave a tip of 16% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Chee paid.

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Solution

The total amount that Chee paid can be calculated in two steps:

  1. First, calculate the tax amount by multiplying the subtotal by the tax rate. This can be represented as 0.08 * xx.

  2. Then, calculate the total bill amount including the tip. The tip is calculated based on the total bill amount (including tax), so we first add the tax to the subtotal, and then multiply the result by 1 plus the tip rate. This can be represented as (xx + 0.08 * xx) * 1.16.

So, the expression that represents the total amount that Chee paid is (xx + 0.08 * xx) * 1.16.

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