Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents. A. Let n = the cost of renting a movie; 20n + 4 = 6; 40 videos B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos C. Let n = the cost of renting a movie; 20n + 4 = 6; 2 videos D. Let n = the number of DVDs rented; 20 + 4n = 6n; 40 videos

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Answer:

B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos

Step-by-step explanation:

Let n = number of DVDs to rent

Movie Mania = 20 + 4n

Hurricane = 6n

Equate the cost of renting a DVD in both stores

Movie Mania = Hurricane

20 + 4n = 6n

20 = 6n - 4n

20 = 2n

Divide both sides by 2

n = 20 / 2

= 10

n = 10

The correct answer is

B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos

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