Question

A restaurant meal for a group of peoplecosts $85 in total. This amount includeda 6% tax and an 20% tip. Both the taxand the tip are based on the price of thefood. Which equation below could beused to find f, the cost of the food?A. 85 = .26fB. 85 = 1.06f +0.20C. 85 = f +0.26D. 85 = 1.26f

Answer 1

D: 85=1.26f

Step-by-step explanation

Step 1

Let

total = 85

tax = 6% = 0.6

tip= 20%= 0.20

tax + tip = 0.26* cost of the food

cost of the food = f

Step 2

make the equation

in words, then replace

the total cost = cost of food+ cost of tax and tip

replace

`\begin{gathered} 85=f+0.26f \\ 85=f(1+0.26) \\ 85=1.26f \end{gathered}`