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Rashid is comparing two movie streaming services. Alpha Club has an annual fee of $8 plus $5 per movie. Zetaflix has no joining fee but charges $6.60 per movie. How many movies must Rashid stream for the deals to cost him the same amount each year?

(a) 5 movies

(b) 10 movies

(c) 15 movies

(d) 20 movies

1 Answer

3 votes

Final answer:

To find out how many movies Rashid must stream for the deals to cost him the same amount each year, we can set up two equations. The cost for Alpha Club is $8 for the annual fee plus $5 per movie. The cost for Zetaflix is $6.60 per movie with no joining fee.

Step-by-step explanation:

To find out how many movies Rashid must stream for the deals to cost him the same amount each year, we can set up two equations. Let's assume that Rashid streams 'x' movies in a year.

For Alpha Club, the cost is $8 for the annual fee plus $5 per movie, so the total cost is 8 + 5x.

For Zetaflix, there is no joining fee, but the cost is $6.60 per movie, so the total cost is 6.60x.

Now we can set up the equation and solve for x:

  • 8 + 5x = 6.60x
  • 8 = 1.6x
  • x = 5

Therefore, Rashid must stream 5 movies for the deals to cost him the same amount each year.

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