Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. His bill was $105.60 last month. How many minutes did he use?

1102 minutes

Let ##x## be the number of minutes Jim used

##105.60 = 75 + 0.30(x - 1000)##

##=> 105.60 = 75 + 0.30x - 300##

##=> 105.60 = 0.30x - 225##

##=> 1056 = 3x - 2250##

##=> 1056 + 2250 = 3x##

##=> 3306 = 3x##

##=> x = 1102##