Final answer:
To find the cost of each bottle of juice, set up an equation with the total cost and solve for x. Each bottle of juice costs $1.67.
Step-by-step explanation:
To find the cost of each bottle of juice, let's assume the cost per bottle is x dollars. Since Sebastian bought a 6-pack of juice bottles, the total cost of the juice bottles would be 6x dollars. Adding the cost of the bag of chips, the total cost before tax is 2.51 + 6x dollars.
We are given that the total cost before tax is 12.53 dollars. So we can set up the equation: 2.51 + 6x = 12.53. To solve for x, we subtract 2.51 from both sides of the equation to isolate 6x: 6x = 10.02. Finally, we divide both sides by 6 to find the cost per bottle of juice: x = 1.67 dollars.
Therefore, each bottle of juice costs $1.67, and the correct option is a) 1.84.