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?

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  

the correct answer option is b. a single paragraph.

explanation:

when you are thinking about paragraph​ topics, you should always choose a subject that can be adequately addressed in a single paragraph.

a paragraph is a piece of writing consisting of a few sentences that deal with a single theme. it has only a single idea that the paragraph revolves around and talks about.

so a paragraph topic must be chosen wisely where a single idea can be communicated in a single paragraph.

match each type of restriction with one of its effects.

a. land-use laws

b. labor laws

c. banking regulations

a. controlled development of towns and cities

b. protection of young workers

c. greater financial stability