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27 November, 00:55

During a one-month promotional campaign, tiger films gave either a free dvd 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. a total of 67 new members were signed up and the store's cost for the incentives was $96. how many of each incentive were given away?

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  1. 27 November, 01:17
    0
    The answer is

    Free Rental given = r = 38

    Box of popcorn given = b = 29

    Explanation:

    Let,

    Free Rental given = r

    Box of popcorn given = b

    Given that,

    Cost of Free Rental = $1

    Cost of Box of popcorn = $2

    Total Cost of incentive = $96

    Total incentives given = 67

    Free Rental given+Box of popcorn given = Total incentives given

    r+b=67

    r=67-b ... (1)

    (Free Rental given) x (Cost of Free Rental) + (Box of popcorn given) x (Cost of Box of popcorn) = Total Cost of incentive

    (r x 1) + (b x 2) = 96

    r + 2b = 96 ... (2)

    Put the value of r in (2) from (1)

    r+2b=86 ... (2)

    67-b+2b = 96

    67+b = 96

    b = 96-67

    b = 29

    Put the value of b in (1)

    r = 67-b ... (1)

    r = 67-29

    r = 38

    Free Rental given = r = 38

    Box of popcorn given = b = 29
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