Question

Company A charges $25 for unlimited talking minutes and $0.15 for each text message sent. Company B charges $50 for unlimited talking minutes and $0.05 for each text message sent. How many text messages would

Savannah need to send for the total cost at Company A and Company B to be the same?
A.25
B.100
C.125
D.250

Answer 1

Savannah needs to send 250 text messages for the total cost at Company A and Company B to be the same. This is found by setting up an equation and solving for x, which represents the number of text messages.

Step-by-step explanation:

To determine the number of text messages Savannah would need to send for the total cost at Company A and Company B to be the same, we need to establish an equation based on the costs provided.

Let's let x represent the number of text messages. For Company A, the cost will be $25 (unlimited talking minutes) plus $0.15x for the text messages. For Company B, the cost will be $50 (unlimited talking minutes) plus $0.05x for the text messages.

The equation for both companies to have the same total cost is:
25 + 0.15x = 50 + 0.05x

To solve for x, we first subtract 0.05x from both sides of the equation:
25 + 0.10x = 50

Then, we subtract 25 from both sides:
0.10x = 25

Dividing both sides by 0.10 gives us the number of text messages:x = 250.

So, Savannah would need to send 250 text messages for the total cost at Company A and Company B to be the same.