SOLUTION: Recently, AT&T offered two long-distance calling plans. The One-Rate (r) seven cent Plus Plan cost $4.95 per month plus 7 cents a minute. Another plan has no monthly fee, but costs

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Recently, AT&T offered two long-distance calling plans. The One-Rate (r) seven cent Plus Plan cost $4.95 per month plus 7 cents a minute. Another plan has no monthly fee, but costs      Log On


   

Question 431492: Recently, AT&T offered two long-distance calling plans. The One-Rate (r) seven cent Plus Plan cost $4.95 per month plus 7 cents a minute. Another plan has no monthly fee, but costs 10 cents a minute. For what number of minutes will the two plans cost the same?
I'm sure this is simple for someone to do, however I have a teacher that doesn't exactly teach. If someone could explain to me how to answer this by way of elimination method I would be most appreciative.

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Plan 1: $4.95 per month plus $0.07 per minute
Plan 2: $0.10 per minute
Cost of plan 1 = $4.95 + 0.07t
Cost of plan 2 = 0.10t
where t is the time in minutes
Set the costs equal:
4.95 + 0.07t = 0.10t
Solve for t:
0.03t = 4.95 -> t = 165
So the plans cost the same at 165 minutes.
If you prefer to work with whole numbers, you could use cents instead of dollars.