Answer:
44.50 = 3 x + 4 y
84= 4x +8 y
each popcorn bag costs $2.5
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The total cost for Kevin (44.50) is equal to the product of the number of popcorn bags bought (x ) and the price of each bag, plus the product of the number of drinks purchased (y) and the price of each drink (y).
Mathematically speaking
Kevin : 44.50 = 3 x + 4 y
Using the same process for Levi:
Levi : 84= 4x +8 y
The system is
44.50 = 3 x + 4 y (k)
84= 4x +8 y (L)
If we multiply Kevin's equation by 2 and subtract it to Levi's equation:
89 = 6x +8y
-
( 84= 4x +8 y)
----------------------
5 = 2x
solving for x
5/2= x
2.5 =x
each popcorn costs $2.5
