Question 548124
Let
Free Rental given = f
Box of popcorn given = p
Given
------
Cost of Free Rental = $1
Cost of Box of popcorn = $2
Total Cost of incentive = $86
Total incentives given = 48



Free Rental given+Box of popcorn given = Total incentives given
f+p=48
f=48-p...........(1)



(Free Rental given)*(Cost of Free Rental)+(Box of popcorn given)*(Cost of Box of popcorn)= Total Cost of incentive
f*1+p*2=86
f+2p=86............(2)

Put the value of f in (2) from (1)
f+2p=86............(2)
48-p+2p=86
48+p=86
p=86-48
p=38
Put the value of p in (1)
f=48-p...........(1)
f=48-38
f=10




Free Rental given = f = 10
Box of popcorn given = p = 38