There are too many students in Mr. Andrews’ class compared to Mr. Bryant’s class. In fact, the student ratio is4:3. As a result, the Principal moved two students from Mr. Andrews’ class to Mr. Bryant’s class, and now Mr. Andrews only has one more student than Mr. Bryant.How many students were in the two classes combined?
Let the original number of students in Mr. Bryant's class be x
Then the number of original students in Mr. Andrew's class is (4/3)x
After the move we have this
Mr Andrew's class - Mr. Bryant's class = 1
[ (4/3)x - 2 ] - (x + 2) = 1 multiply through by 3
4x - 6 - 3x - 6 = 3
x - 12 = 3 add 12 to both sides
x =15 = number of students in Mr. Bryant's original class
(4/3)(15) = 20 = number students in Mr. Andrew's original class
After the move
Mr. Bryant's class = 17
Mr.Andrew's class = 18
35 students in total