Answer:
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
