A movie theater is selling only one size of popcorn and one size of soft drink. Jason purchased 2 popcorns and 3 soft drinks for a total of $23. Ann purchased 3 popcorns and 4 soft drinks for a total of $32.50. How much does a soft drink cost?

soft drinks cost $4 and popcorn costs $5.50

A soft drink costs $4

Step-by-step explanation:

Represent popcorn with p, and soft drink with s

2p + 3s = 23 ... eqn 1

3p + 4s = 32.5 ... eqn 2

Since we have formed a simultaneous equation with our interpretation, we can now solve using elimination method

To eliminate p, multiply eqn 1 by 3 and eqn 2 by 2, we will have

6p + 9s = 69 ... eqn 3

6p + 8s = 65 ... eqn 4

We can now subtract eqn 4 from eqn 3, and we will have

s = $4

Therefore, soft drink costs $4 each