SOLUTION: During a one-month promotional campaign. Video village gave either a free video rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free r

Question 548124: During a one-month promotional campaign. Video village gave either a free video rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all, 48 new members signed up and the store's cost for the incentives was $86. How many of each incentive were given away?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
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

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