The easiest way to approach this is to set up 2 equations using the information given:
3M + 2V = $22 where M is the cost per movies and V is the cost per videos rented in a month for a total or $22.
You also know that:
5M + 6V = $52
Choose one equation and rewrite as M = ($22 - 2V)/3
Substitute into the second equation and solve.