Laurie C. answered • 04/22/15

Math Tutor Cincinnati, OH

let x = number of games played

you are trying to find value of x so that owner makes AT LEAST $45. So $45 is the goal so that is on one side of the equation

45<

then you need to find how many games will be played at 3.50 a piece, so the profit to the owner would be 3.50*x

so 45 < 3.50x

however the owner has a cost of -135 so that needs to come out of the profits

so 45 < 3.50x - 135

now you just need to solve for the x in the equation

45 < 3.50x - 135

+135 +135

180 < 3.50x

divide each side by 3.50

x < 51.5 (approximately)

so number of games to make money is 52 games since you can't sell half a game