Question 615998
Let {{{ n }}} = number of checks written
Let {{{ C }}} = the cost of the plan
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Anywhere plan:
(1) {{{ C = .25n }}}
Accucheck plan:
(2) {{{ C = 1.14 + .19n }}}
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First find {{{ n }}} when the plans cost the same
{{{ .25n = 1.14 + .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 + .19n }}}
(2) {{{ C = 1.14 + .19*20 }}}
(2) {{{ C = 1.14 + 3.8 }}}
(2) {{{ C = 4.94 }}}
and, the other plan
(1) {{{ C = .25n }}}
(1) {{{ C = .25*20 }}}
(1) {{{ C = 5 }}}
So 20 checks need to be written