Amir spent a total of $53.75 on breakfast sandwiches and bagels for his friends who are visiting from out of town. Each breakfast sandwich costs $4.25, and each bagel costs $2.00. He bought 5 more bagels than breakfast sandwiches.

Write a system of equations that could be used to solve for the number of breakfast sandwiches and bagels he bought.

And solve the system of equations to determine how many bagels and sandwiches Amir bought.