Question

Ernesto and his family have finished dinner at a restaurant in a region where themeal taxis 5% of the price of the meal. Ernesto leaves a 17% tip. With tax and tip, the total cost is$58.56. Create an equation, where p is the price of the meal. Determine what the cost ofthe meal was.

Answer 1

58.56 = 1.22p (the equation)

Step-by-step explanation:

Given:

meal tax = 5% of the price f the meal

The tip = 17% of the price of the meal

Total cost including meal tax and tip = $58.56

To find:

a) An equation where p is the price of the meal

b) The cost of the meal

a) let p = price of the meal

meal tax = 5% (p) = 0.05(p)

meal tax = 0.05p

tip = 17% (p) = 0.17(p)

tip = 0.17p

Total cost including meal tax and tip = price of the meal + meal tax + tip

58.56 = p + 0.05p + 0.17p

58.56 = 1.22p (the equation)

b) To determine the cost of the meal, we will solve for p:

`\begin{gathered} (58.56)/(1.22)\text{ = }(1.22p)/(1.22) \\ p\text{ = 48} \end{gathered}`

The price of the meal is $48