at the movies, you order 3 boxes of popcorn and a water bottle. the cost of the bottle of water is $1.75. your total cost is $9.25. write and solve an equation to find the cost of one box of popcorn.

Answer 1

Let's assume the cost of one box of popcorn is represented by the variable "x".

We know that you ordered 3 boxes of popcorn and a water bottle, with the cost of the water bottle being $1.75. Adding the cost of the boxes of popcorn to the cost of the water bottle, the total cost is $9.25.

The equation representing this situation is:
3x + 1.75 = 9.25

To solve for the cost of one box of popcorn, we can start by subtracting 1.75 from both sides of the equation:
3x + 1.75 - 1.75 = 9.25 - 1.75
3x = 7.50

Next, we divide both sides of the equation by 3 to isolate the variable:
3x/3 = 7.50/3
x = 2.50

Therefore, the cost of one box of popcorn is $2.50.