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

Answer:

125 text messages.

Step-by-step 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:

$0.16x+35=0.08x+45$

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

$0.08x+35=45$

$0.08x+35-35=45-35$

$0.08x=10$

$\frac{0.08x}{0.08}=\frac{10}{0.08}$

$x=125$

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