What is the cost of a medium drink? What is the cost of a large popcorn?

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x and the cost of a large popcorn be $y

According to question, A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85      (1)

A family bought 3 medium drinks and 2 large popcorn for a total of $23.90

3x + 2y = 23.90      (2)

Using Elimination method to solve the system of equation. Multiply equation (1) by 2 , we get,

4x + 2y = 27.70      (3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85  

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25

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