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
Answer:
Medium drink = $3.8
Large popcorn = $6.25
Step-by-step explanation:
Assuming the cost of a medium drink to be m and the cost of a large popcorn to be p, we can write these two equations:
[tex]2d+p=13.85[/tex] --- (1)
[tex]3d+2p=23.90[/tex] --- (2)
Finding the cost of a medium drink and a large popcorn.
From equation (1), [tex]p=13.85-2d[/tex].
Substituting this value of [tex]p[/tex] in equation (2):
[tex]3d+2p=23.90[/tex]
[tex]3d+2(13.85-2d)=23.90[/tex]
[tex]3d+27.7-4d=23.90[/tex]
[tex]3d-4d=23.90-27.7[/tex]
[tex]d=3.8[/tex]
Now substituting this value of [tex]d[/tex] to find [tex]p[/tex]:
[tex]p=13.85-2d[/tex]
[tex]p=13.85-2(3.8)[/tex]
p=[tex]6.25[/tex]
Therefore, the cost of a medium drink is $3.8 while a large popcorn costs $6.25.
