Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Roscoe has punch cards for his favorite tea house and his favorite coffee shop. He currently has 7 punches on the tea punch card and 10 punches on the coffee punch card. Given his regular routine, he consistently earns 7 new punches per week on the tea punch card and 6 on the coffee punch card. Before too long, Roscoe will have the same number of punches on each card. How many punches will Roscoe have on each card? How long will that take?

Roscoe will havepunches on each card in weeks.