Question

Parsons Bank offers two​ checking-account plans. The No Frills plan charges 25 cents per check whereas the Simple Checking plan costs ​$6 per month plus 5 cents per check. For what number of checks per month will the Simple Checking plan cost​ less?

Answer 1

No frills = $0.25(x)
simple = $6 + $0.05(x)
set equal to each other
0.025(x) = 6 + 0.05(x)
rearrange like terms together
0.025(x) - 0.05(x) = 6
0.020(x) = 6
x =300
Simple plan will be cheaper once you use more than 300 checks