Question

Megan is deciding between two cell phone plans. Plan A has a $25 sign-up fee and charges $30 per month. Plan B has a $15 sign-up fee, but charges $40 a month. After how many months will the total cost be the same? What is this cost?

Answer 1

The number of months for cost of bot plan to be same is 1 month and the call cost is $55

Explanation:

Given as :

The rate of Plan A = $25 sign-up fee + charges $30 per months

The rate of Plan B = $15 sign-up fee + charges $40 per months

Let The number of months after which the charges will be same is n

So, According to question

For Plan A

$25 sign-up fee + charges $30 per months × number of months

For Plan B

$15 sign-up fee + charges $40 per months × number of months

Now , For charge to be same

$25 sign-up fee + charges $30 per months × n = $15 sign-up fee + charges $40 per months × n

Or, $25 - $15 = $40 × n - $30 × n

Or, 10 = n ( 40 - 30 )

Or, 10 = 10 n

∴ n =
`(10)/(10)`

I.e n = 1

So , The number of month for which the cost to be same is 1 month

Again , The cost amount = $25 sign-up fee + charges $30 per months × 1

I.e The cost amount = $25 + $30

So, The cost amount = $55

Similarly

The cost amount = $15 sign-up fee + charges $40 per months × 1

So, The cost amount = $55

Hence The number of months for cost of bot plan to be same is 1 month and the call cost is $55 Answer