Question

A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax were calculated from
the cost of the food, which of the following was the cost of the food, rounded to the nearest cent?

Answer 1

Answer:

$65.04

Step-by-step explanation:

Given:

Total amount left by the customer on table = $80

It contains cost of the food + 15% tip + 8% sales tax.

Sales tax and tip are calculated from the cost of food.

To find:

Cost of the food = ?

Solution:

Let the cost of food = $$x$

As per given question statement:

Tip = 15% of $x$

Sales Tax = 8% of $x$

Money left on table = Cost of food + Tip + Sales tax

$80 = $x$ + 15% of $x$ + 8% of $x$

Now, let us solve the equation:

$\ 80 = x + 15\%\ of\ x + 8\%\ of\ x\\\Rightarrow 80 = x + \dfrac{15}{100} \times x + \dfrac{8}{100} \times x\\\Rightarrow 80 = \dfrac{100x + 15\times x + 8\times x}{100}\\\Rightarrow 80 = \dfrac{123x}{100}\\\Rightarrow 80 \times 100= 123x\\\Rightarrow x = \dfrac{8000}{123}\\\Rightarrow \bold{x = \ 65.04}$

Therefore, the cost of food, rounded off to nearest cent is $65.04.