Question 791315
Let x = # of drama lessons and y = # of dance lessons


x drama lessons that cost $25 a piece will cost 25x dollars
y dance lessons that cost $22 a piece will cost 22y dollars
in total, you spend 25x+22y dollars


this total is set equal to 532 since we want the cost to be this amount


So we know that {{{25x+22y=532}}}


We cannot solve for x and/or y and get some explicit number for either of them. 


We need another equation to be able to do this. We need more information (like how many lessons combined are allowed) to set up another equation, but we don't have this other information.