There are two exam rooms X and Y. We are told the following: If 10 students are sent from X to Y, the number of students in each room becomes the same. On the other hand, if 20 students are sent from Y to X, the number of students in X becomes double the number of students in Y. Find the (original) number of students in each room:

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.