It costs $12.50 to see a movie at a theater near Jason's house. It costs only 1.95 to rent a DVD from an online service. A DVD player costs $125. To the nearest whole number, how many movies must Jason watch on DVD instead of at the theater before he recovers the cost of the DVD player?
Each DVD he watches instead of going to the cinema saves: $12.50 - $1.95 = $10.55
So how many $10.55s are there in $125?
12
To find out how many movies Jason must watch on DVD before he recovers the cost of the DVD player, we need to compare the total cost of watching movies at the theater with the total cost of watching movies on DVD.
1. Calculate the total cost of watching movies at the theater:
Since it costs $12.50 to see a movie at the theater, and we want to find out how many movies Jason must watch, we can multiply the cost per movie by the number of movies Jason needs to watch to recover the cost of the DVD player. Let's say this number is 'x'.
The total cost of watching movies at the theater is then given by: Total cost at theater = cost per movie * number of movies = $12.50 * x
2. Calculate the total cost of watching movies on DVD:
To watch movies on DVD, Jason needs to consider the cost of the DVDs and the cost of the DVD player.
The total cost of watching movies on DVD is given by: Total cost on DVD = cost per DVD * number of movies + cost of DVD player
The cost per DVD is $1.95, and the cost of the DVD player is $125.
Now, we need to find the number of movies, 'x', for which the total cost at the theater equals the total cost on DVD:
$12.50 * x = $1.95 * x + $125
We can solve this equation to find the value of x.
12.50 * x = 1.95 * x + 125
10.55 * x = 125
x = 125 / 10.55
x ≈ 11.85
Rounding to the nearest whole number, Jason must watch 12 movies on DVD instead of at the theater before he recovers the cost of the DVD player.