2022 AIME II Problem 1

Adults made up \frac5{12} of the crowd of people at a concert. After a bus carrying 50 more people arrived, adults made up \frac{11}{25} of the people at the concert. Find the minimum number of adults who could have been at the concert after the bus arrived.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.