Answer:
(a)
(b)
Bag of popcorn = $6
Candy = $5
Step-by-step explanation:
Given
Jackson: x = 8; y= 2; Total = 58
Cooper: x = 4; y= 5; Total = 49
Solving (a): System of equation
For Jackson:
This is done by multiplying each variable by the quantity.
Same will be applied to Cooper's purchase:
Cooper:
Solving (b): Price of 1 bag of popcorn and 1 candy
This implies that we solve for x and y
----- (1)
-------- (2)
Multiply the second equation by 2
-------- (3)
Subtract the (1) from (3)
Solve for y
Substitute 5 for y in (1)
Solve for x
This implies:
Bag of popcorn = $6
Candy = $5