Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Quincy has punch cards for his favorite tea house and his favorite coffee shop. He currently
has 8 punches on the tea punch card and 10 punches on the coffee punch card. Given his
regular routine, he consistently earns 4 new punches per week on the tea punch card and 3
on the coffee punch card. Before too long, Quincy will have the same number of punches on
each card. How many punches will Quincy have on each card? How long will that take?
Quincy will have
punches on each card in
weeks.