Question

The Call First cell phone company charges 535 per month and an additional 50.16 for each text message sent during the month. Another cell phone company, Cellular Plus, charges $45 per month and an additional $0.08 for each text message sent during the month a. How many text messages would have to be sent in a month to make both plans cost the same?

Answer 1

125 text messages.

Explanation:

Let x represent number of text messages.

We have been given that the Call First cell phone company charges $35 per month and an additional $0.16 for each text message sent during the month.

The cost of sending x text messages using call first would be
`0.16x`.

The total cost of sending x text messages using call first would be
`0.16x+35`.

Cellular Plus, charges $45 per month and an additional $0.08 for each text message sent during the month.

The cost of sending x text messages using cellular plus would be
`0.08x`.

The total cost of sending x text messages using cellular plus would be
`0.08x+45`.

Now, we will equate both expressions to solve for x as:

`0.16x+35=0.08x+45`

`0.16x-0.08x+35=0.08x-0.08x+45`

`0.08x+35=45`

`0.08x+35-35=45-35`

`0.08x=10`

`(0.08x)/(0.08)=(10)/(0.08)`

`x=125`

Therefore, 125 text messages would have to be sent in a month to make both plans cost the same.