SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of c

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of c      Log On


   



Question 630321: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 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 +n+ = number of minutes of calls
!st plan:
cost = +19+%2B+.13n+
2nd plan:
cost = +11+%2B+.17n+
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Make the costs for the 2 plans equal
+19+%2B+.13n+=+11+%2B+.17n+
+.04n+=+19+-+11+
+.04n+=+8+
+n+=+200+
For 200 minutes of calls, the plans are equal
check:
+19+%2B+.13%2A200+=+19+%2B+26+
+19+%2B+26+=+45+
and
+11+%2B+.17%2A200+
+11+%2B+34+=+45+
OK