SOLUTION: My friend and I have different calling plans. Mine has a monthly fee of $15 and $0.05 per minute charge. My friend pays $0.02 a minute and a $25 monthly customer fee. After how ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: My friend and I have different calling plans. Mine has a monthly fee of $15 and $0.05 per minute charge. My friend pays $0.02 a minute and a $25 monthly customer fee. After how ma      Log On


   

Question 762126: My friend and I have different calling plans. Mine has a monthly fee of $15 and $0.05 per minute charge. My friend pays $0.02 a minute and a $25 monthly customer fee.
After how many minutes will our plans cost the same amount? Round your answer to the nearest minute.
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Plan1 (your plan): Total cost = 15 (monthly fee) + 0.05 * number of minutes
Plan2 (Friends plan): Total cost = 25(monthly fee) + 0.02 * number of minutes
Let us say both become equal after x number of minutes.
Since the total costs for both plans are equal for x minutes, we can equate the 2 expressions given above.
15+%2B+0.05%2Ax+=+25+%2B+0.02%2Ax
0.03%2Ax+=+10 or x+=+333.33
Rounding off to the nearest minute, the two plans will cost the same after highlight%28333%29 minutes.
:)