SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $10 monthly fee and charges an additional $0.16 for each minute of c

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $10 monthly fee and charges an additional $0.16 for each minute of c      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1141263: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $10 monthly fee and charges an additional $0.16 for each minute of calls. The second plan has a $27 monthly fee and charges an additional $0.12
for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the monthly cost of a plan
Let +t+ = the number of monthly minutes of calls
---------------------------------------------------------
(1) +C+=+10+%2B+.16t+
(2) +C+=+27+%2B+.12t+
-----------------------------
Make the costs of the plans equal
+10+%2B+.16t+=+27+%2B+.12t+
+.04t+=+17+
+t+=+425+
For 425 min of calls the two plans will be equal
---------------------
Check:
(1) +C+=+10+%2B+.16%2A425+
(1) +C+=+10+%2B+68+
(1) +C+=+78+
and
(2) +C+=+27+%2B+.12%2A425+
(2) +C+=+27+%2B+51+
(2) +C+=+78+
OK