Question

A wireless company offers two cell phone plans. For the month of September Plan A charges $35 plus $0.25 per minute for calls. Plan B charges$20 plus $0.50 per minute for calls. ?

Answer 1

EXPLANATION

Let's see the facts:

Plan A --> $35 + $0.25/minute

Plan B --> $20 + $0.5/minute

Let's call "x" to the number of minutes that a person could talk.

Here we have two equations as follows:

(1) 35 + 0.25x

(2) 20 + 0.5x

Where x represents the number of minutes a person talks on the phone.

We need to equal both equations in order to obtain the same cost.

35 + 0.25x = 20 + 0.5x

Now, we need to solve this equality as shown as follows:

-Subtracting -35 to both sides:

35 + 0.25x -35 = 20 + 0.5x -35

-Adding similar terms:

0.25x = 0.5x - 15

-Subtracting -0.5x to both sides:

0.25x - 0.5x = -15

-Adding similar terms:

-0.25x = -15

-Dividing both sides by -0.25:

x = -15/-0.25

-Simplifying:

x= 60 minutes

So, when a person talks for 60 minutes the cost of both plans is the same.