The local grocery store rents carpet cleaners for $45 per day and sells shampoo to go with the cleaner for $12. To purchase a carpet cleaner it would cost $350 with the corresponding shampoo costing $10. The last time you cleaned your carpets, it took 2 shampoo bottles that worked with the rental cleaner. Cleaning the same amount of carpet with the purchased cleaner would use 3 bottles of the corresponding shampoo. How many times would you have to clean the carpet in your house to make buying a carpet cleaner cheaper than renting one?