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.
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.
Let's say the cost of one box of popcorn is "x" dollars.
The cost of 3 boxes of popcorn would be 3x dollars, and the cost of the water bottle is $1.75.
Given that the total cost is $9.25, we can write the equation:
3x + $1.75 = $9.25
To solve for x, we need to isolate it on one side of the equation. First, we subtract $1.75 from both sides:
3x = $9.25 - $1.75
3x = $7.50
Next, we divide both sides by 3 to solve for x:
x = $7.50 / 3
x ≈ $2.50
Therefore, the cost of one box of popcorn is approximately $2.50.