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

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) (Show Source): You can put this solution on YOUR website!
Let = number of checks written
Let = the cost of the plan
--------
Anywhere plan:
(1)
Accucheck plan:
(2)
-------------------
First find when the plans cost the same

Now if 1 more check is written, the cost of Accucheck plan
should be less than Anywhere olan
(2)
(2)
(2)
(2)
and, the other plan
(1)
(1)
(1)
So 20 checks need to be written
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