Uptown Cable A Cable Tv Provider

Word problem: Need help !!? 3

Opto Cable, a cable television company, charges each subscriber $ 120 per month for installation and $ 25 per month for cable programming. Previously, Doto Cable charged each user $ 60 per month for installation, and $ 35 per month for programming cable. Customers who subscribe to Upto pay the same total for cable television as subscribing to Doto, if they all pay for cable installation and programming for several months.

Tell me what you do

If you explain clearly you will get all 10 points.

This problem uses a system of equations.

25x + 120 = up to the number of threads.

This is because $ 120 is permanent (which means the setup fee is $ 120 no matter how many months you subscribe). x is the number of months you have signed up and is $ 25 per month. So, multiplying by x $ 25, you get a monthly payment rate.

35x + 60 = Number of doto cables.

There's only one app, but for cable programming it costs $ 35 per month, and the $ 60 setup fee is a fixed one that doesn't change in any of your months.

Now the task at hand is to find out how many months (x) will equal two quantities, explain the equation. You will have

25x + 120 = 35x + 60

Then subtract 25x from both sides to get:

120 = 10 times + 60

Then subtract 60 from both sides to get:

60 = 10x or

10x = 60 (equal)

Divide both sides by 10 to get:

x = 6

There, two people need to register with different companies for 6 months to pay the same amount.

What helps, for example.

The answer is: 6 months.