Two of the​ top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.