Question

Juan goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 9% is applied to the bill. Juan decides to leave a tip of 17% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Juan paid.

Answer 1

Given:

Tax = 9% is applied to the bill.

Tip = 17% on the entire bill (including the tax).

To find:

The expression in terms of x that represents the total amount that Juan paid.

Solution:

Let x be the subtotal on the bill.

A tax of 9% is applied to the bill. So, amount of bill after including tax is

$x+9\%\text{ of }x=x+\dfrac{9}{100}x$

                $=x+0.09x$

                $=1.09x$

Juan decides to leave a tip of 17% on the entire bill (including the tax). So, total amount after tip is

$(1.09x)+17\%\text{ of }1.09x=1.09x+\dfrac{17}{100}(1.09x)$

                                           $=1.09x+0.17(1.09x)$

                                           $=1.09x+0.1853x$

                                           $=1.2753x$

Therefore, the expression for total amount that Juan paid is  $1.2753x$.