SOLUTION: I am having problems setting this word problem up. Thank you for all of your help. A bank offers two checking plans. The Anywhere plan charges 25 cents per check. The AccuChec

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I am having problems setting this word problem up. Thank you for all of your help. A bank offers two checking plans. The Anywhere plan charges 25 cents per check. The AccuChec      Log On


   



Question 615998: I am having problems setting this word problem up. Thank you for all of your help.
A bank offers two checking plans. The Anywhere plan charges 25 cents per check. The AccuCheck plan cost $1.14 a month plus 19 cents per check. For what number of checks will the AccuCheck plan cost less than the Anywhere plan?
I am required to choose between the following ranges:
a.) Less than 19 checks
b.) More than 19 checks
c.) 19 or more checks
d.) 19 checks

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of checks written
Let +C+ = the cost of the plan
--------
Anywhere plan:
(1) +C+=+.25n+
Accucheck plan:
(2) +C+=+1.14+%2B+.19n+
-------------------
First find +n+ when the plans cost the same
+.25n+=+1.14+%2B+.19n+
+.25n+-+.19n+=+1.14+
+.06n+=+1.14+
+n+=+19+
Now if 1 more check is written, the cost of Accucheck plan
should be less than Anywhere olan
(2) +C+=+1.14+%2B+.19n+
(2) +C+=+1.14+%2B+.19%2A20+
(2) +C+=+1.14+%2B+3.8+
(2) +C+=+4.94+
and, the other plan
(1) +C+=+.25n+
(1) +C+=+.25%2A20+
(1) +C+=+5+
So 20 checks need to be written