Ms. garcia has 52 dimes and nickels worth $4.50. how many of each coin does she have

Let's callx = number of dimes.y = number of nickels.We must make a system of two equations with two incgonitas to solve the problem and find the solution, knowing that we have 50 coins and that between both they add $ 4.50.The result is x = 40, y = 10.I attach the solution to the problem.