61.4k views
4 votes
Phone company A charges a $4 monthly fee and $5 per GB in data. Phone company B charges $10 each month and $3 per GB in data. How many GB would be used so that a bill from each company is the same?

User Bimal Grg
by
7.0k points

1 Answer

4 votes

Final answer:

To find the number of GB used such that both phone company bills are the same, we set up an equation to represent each company's charging scheme. After solving the equation $4 + $5x = $10 + $3x, we find that at 3 GB of data usage, the bills from both companies would be equal.

Step-by-step explanation:

To determine how many GB would be used so that a bill from each phone company is the same, we can set up an equation where the total cost from Company A is equal to the total cost from Company B:


Let's denote the number of GB as x.
Company A: $4 + $5x
Company B: $10 + $3x

To find the break-even point, we solve for x when the costs are equal:


$4 + $5x = $10 + $3x


When we solve this equation, we get:

$5x - $3x = $10 - $4

$2x = $6
x = $6 / $2
x = 3 GB

A customer would need to use 3 GB of data for the monthly bills from both companies to be equal.

User Seblor
by
8.0k points