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 = $[tex]x[/tex]
As per given question statement:
Tip = 15% of [tex]x[/tex]
Sales Tax = 8% of [tex]x[/tex]
Money left on table = Cost of food + Tip + Sales tax
$80 = [tex]x[/tex] + 15% of [tex]x[/tex] + 8% of [tex]x[/tex]
Now, let us solve the equation:
[tex]\$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}[/tex]
Therefore, the cost of food, rounded off to nearest cent is $65.04.
Answer:
Step-by-step explanation:
The cost of the food as x, the tips as 0.15, and the tax as 0.08x. Then setting up and solving the equation x+0.15x+0.08x=80.
