Chris works at a local bowling alley. He currently makes $200 per week after taxes plus $50 extra cash every five weeks for cleaning the lanes. Chris is trying to save up for his Senior Cruise. Depending on the type of cabin he gets, he can buy a ticket for between $420 and $1,260. The equation below represents this situation where x is the number of weeks worked and P is the price of the Cruise ticket.

1/5 (50x) + 200x = P

What is the minimum number of weeks that Chris needs to work to buy his cruise ticket

My answer is 3 weeks
Am I right?

Question

Chris works at a local bowling alley. He currently makes $200 per week after taxes plus $50 extra cash every five weeks for cleaning the lanes. Chris is trying to save up for his Senior Cruise. Depending on the type of cabin he gets, he can buy a ticket for between $420 and $1,260. The equation below represents this situation where x is the number of weeks worked and P is the price of the Cruise ticket.

1/5 (50x) + 200x = P

What is the minimum number of weeks that Chris needs to work to buy his cruise ticket

My answer is 3 weeks 
Am I right?