Question

Mitchell orders a plain turkey sandwich and a drink for lunch. The drink is $2.95. Instead he is served the super sandwich with lettuce, tomato, and mayonnaise. The restaurant manager takes 15% off the price of the sandwich.

Write an equation to determine the original price of Mitchell’s sandwich, x, if his new bill is $8.86.

Answer 1

$ 8.86 = $2.95 + 0.85 m

Explanation:

The above equation can be used to determine the original cost m of the sandwich.

Step-by-step explanation:

Here, the cost of 1 drink = $2.95

The discount in the price of the sandwich = 15%

The total bill of Mitchell = $8.86

Let us assume the original cost of the turkey sandwich = $m

Now, the discount is always applied on the original price.

⇒ 15% of the original price = 15% of m =

So, the discount offered on the sandwich = 0.15 m

Reduced price of the Sandwich = Original Price - Discounted amount

= m - 0.15 m = 0.85 m

Now, Total Bill = Cost of Drink + Reduced cost of sandwich

⇒ $ 8.86 = $2.95 + 0.85 m

Here, the equation $ 8.86 = $2.95 + 0.85 m can be used to determine the original cost m of the sandwich.