i need answers.

Question

You like to watch movies at the local cinema. You have two payment options. Option A is to buy a discount card which will cost you $160, and then $20 per movie. Option B is to pay $40 per movie. After how many movies will the total costs of the two options be the same? Write a system of equations in order to solve this problem. Define each variable X represents the number of cupcakes made.

1. Define each variable

1. Write the system of equations

1. Are there any additional constraints that should be considered?

1. Solve the system.

       

                   

Answer 1

x = number of movies

option a: cost = 160 + x*20

option b: cost = 40*x

equal when costs equal

160 + x*20 = 40*x

160 = 20*x

x = 8 movies