Jenna is deciding between two cell-phone plans. The first plan has $50 signup fee and costs $20 per month. The second plan has $30 sign up fee amd cost $25 per month. After how many months will the total coast be the same? What will that cost be

Step-by-step explanation:

Let x represent the number if months it will take for the total costs of both plans to be the same.

The first plan has $50 signup fee and costs $20 per month. This means that the total cost of using the first plan in a month would be

20x + 50

The second plan has $30 sign up fee and cost $25 per month. This means that the total cost of using the first plan in a month would be

25x + 30

For the costs to be the same,

20x + 50 = 25x + 30

25x - 20x = 50 - 30

5x = 20

x = 20/5 = 4

The costs would be the sane after 4 months. The cost would be

20 * 4 + 50

= $130