Problema Solution

The Great Maids cleaning service charges 50 pesos per room cleaned plus 185 pesos fee every time they come out to clean. the Spic-n-span cleaning service charges 65 pesos per room but doesnt charge any other fees. How many rooms would need to be cleaned for great Maids to be a better service to use?

Answer provided by our tutors

let x = the number of rooms cleaned, x is integer


The Great Maids cleaning service will charge: 50x + 185


The Spic-n-span cleaning service will charge: 65x


The Great Maids cleaning service is a better service then Spic-n-span cleaning service means:


50x + 185 < 65x


by solving we find


x > 12.33


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since x is an integer we conclude that more then 12 rooms needs to be cleaned for Great Maids to be a better service to use.