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
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.