Each drink costs $3.25 and each popcorn costs $8.
Step-by-step explanation:
Step 1:
Assume each drink costs x dollars and each popcorn costs y dollars.
From the given data, we can write the following equations;
, take this as equation 1,
, take this as equation 2.
Step 2:
We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get
, take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.
![-35y = -280, y = \frac{280}{35} = 8](https://tex.z-dn.net/?f=-35y%20%3D%20-280%2C%20y%20%3D%20%5Cfrac%7B280%7D%7B35%7D%20%3D%208)
Step 3:
Substituting this value of y in any of the previous equations we will get x's value.
Here this value of y is substituted in equation 1.
,
![x=\frac{39}{12} = 3.25](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B39%7D%7B12%7D%20%3D%203.25)
So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.