Question

Homework: Ch. 1-2 Part B Solving multi-step equations

Angie and Kerry play online video games. Angie buys 2 software packages and 2 months of gameplay, Kerry buys 2 software packages and 4 months of gameplay. Each software package costs $20; her total cost is $145. What is the cost of one month of gameplay? (Type an integer or a decimal)

Answer 1

The cost of one month of gameplay is $52.50, calculated by setting up a linear equation based on the given costs and solving for the unknown monthly cost.

Step-by-step explanation:

To find the cost of one month of gameplay, we need to set up a linear equation based on the information provided. We know that Angie buys 2 software packages and 2 months of gameplay and her total cost is $145. Each software package costs $20. Let's use the variable m to represent the monthly cost of gameplay.

The cost for Angie's purchases can be represented by the equation:

2(software package cost) + 2(monthly cost) = Total cost of Angie's purchases

2($20) + 2m = $145

40 + 2m = $145

To find the value of m, we subtract 40 from both sides of the equation:

2m = $145 - 40

2m = $105

Now, we divide both sides by 2 to solve for m:

m = $105 / 2

m = $52.50

Therefore, the cost of one month of gameplay is $52.50.