Major

A university contains French majors and Spanish majors in a 5 to 7 ratio. {:("Quantity A","Quantity B"),("The number of French","The number of French majors"),("majors if 10 French majors","if 3/7 of the Spanish majors"),("transfer into the university","switch to French"),("and no other students leave,",),("join, or change majors",):}

In a certain collage, the ratio of mathematics majors to English majors is 3:8. If in the following school year the number of mathematics majors increase 20%, and the number of English majors decrease 15%, what is the new ratio of mathematics majors to English majors?