emily purchased three different size of popcorn at the movies the medium pop corn was twice as expensive as the small popcorn the large popcorn was 3 more than the medium popcorn she spent a total of 23 on popcorn write and solve an equation to determine the cost of the small popcorn

Answer 1

Let's say the cost of the small popcorn is "x" dollars.

According to the given information:
The medium popcorn is twice as expensive as the small popcorn, so the cost of the medium popcorn is 2x dollars.
The large popcorn is 3 more than the medium popcorn, so the cost of the large popcorn is 2x + 3 dollars.

Emily spent a total of 23 dollars on popcorn, so we can set up the equation:

x + 2x + 2x + 3 = 23.

Combining like terms, we have:

5x + 3 = 23.

Subtracting 3 from both sides, we get:

5x = 20.

Dividing both sides by 5, we find:

x = 4.

Therefore, the cost of the small popcorn is 4 dollars.