Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Two political activists, Victoria and Rachel, have a friendly bet to see who can get the most signatures on a petition. So far, Victoria has collected 98 signatures and Rachel has collected 144 signatures. Victoria is averaging 3 new signatures per minute, while Rachel is managing to collect an average of 2 signatures per minute. Assuming this trend continues, they will have a tie before long. How many signatures will each one have at that point? How long will that take?
Victoria and Rachel will each have collected signatures in minutes.