Question

Mitchell order 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% of the price of the sandwich. Wrote an equation to determine the Original process of the sandwich x if his new bill is 8.86

Answer 1

To find the original price of Mitchell's sandwich (x), we formulated an equation considering a 15% discount and the cost of the drink. By setting up the equation and solving for x, we determined that the original price of the sandwich before the discount was $6.95.

Step-by-step explanation:

To determine the original price of the sandwich (x), we need to account for the discount given by the restaurant manager and the cost of the drink. The manager gave a 15% discount on the sandwich, which means Mitchell paid 85% of its original price. We also know that the drink cost $2.95 and Mitchell's new bill total is $8.86.

So, the equation to find the original price of the sandwich is:

0.85x + 2.95 = 8.86

Subtract the cost of the drink from the total bill to isolate the sandwich price component:

0.85x = 8.86 - 2.95

0.85x = 5.91

Finally, divide by the discount percentage to find x, the original price:

x = 5.91 / 0.85

x = 6.95

Thus, the original price of the sandwich was $6.95.

Answer 2

drink: $2.95

discount: 15% (let s = cost of turkey sandwich)

bill: $8.86

discount = 15%s = 0.15s

m - 0.15m = 0.85s

equation: $8.86 = 2.95 + 0.85s