SOLUTION: Saul's father is thinking about buying his son a six-month move pass for $40.00. With the pass, movies cost $1.00. If a movie is normally $3.50 each, how many times would Saul need

Question 39238: Saul's father is thinking about buying his son a six-month move pass for $40.00. With the pass, movies cost $1.00. If a movie is normally $3.50 each, how many times would Saul need to attend in order for the pass to be beneficial?
My teacher assigned this problem, and I need to solve it in three (3) different ways. For my first way, I made a chart.
Movies at $1.00 at $3.50
1 $1.00 $3.50
2 $2.00 $7.00
3 $3.00 $10.50
4 $4.00 $14.00
...And so on and so forth. It becomes beneficial at 12 movies, where a regular priced movie would have a running total of $42.00.
My second method was to graph it. I don't need help with that piece.
I cannot think of a third method to solve this problem. Any help would be greatly appriciated.

Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
first off, it isn't beneficial at 12 movies.

12 movies: old price = $42 and new price = $12. This is a saving of $30. The ticket cost $40.

You need to look at the DIFFERENCE between the standard and discounted prices.

THIRD METHOD:
Let n= number of movies watched. We need to know when this difference is greater than $40.

So, (3.50-1)n > 40
2.50n > 40
no n > 16

So, at 16 movies, they will break even. Anything above 16 movies and they "save money".

Jon.

RELATED QUESTIONS
Seth is thinking of buying a movie pass for $40. With the pass, movies cost Seth only... (answered by josmiceli)

a father is 32 years old and his son is 5. How many years will pass before the father is... (answered by bucky)

Instruction: Read and study the case of Me.castro, recently operates it's buy and sell... (answered by ikleyn)

Chris is playing a game with his father with a six-sided die. What is the expected value... (answered by greenestamps)

Chris is playing a game with his father with a six-sided die. What is the expected value... (answered by ikleyn)

the toll to a bridge is $2.50. A three month pass costs $12.00 and reduces the toll to... (answered by macston)

A train ticket in a certain city is $1.50. People who use the train also have the option... (answered by josgarithmetic)

A train ticket in a certain city is $1.50. People who use the train also have the option... (answered by math_tutor2020)

Ana wants to subscribe to a movie streaming service on her TV. She has two options:... (answered by Theo)