Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 178 cities. The jazz band visited 92 cities more than the rock band. How many cities did each group visit?
Let x = the rock band
x + x + 92 = 178
2x = 86
x = 43
Let's solve this problem step by step.
Let's assume that the number of cities visited by the rock band is 'x.' Since the jazz band visited 92 cities more than the rock band, the number of cities visited by the jazz band would be 'x + 92.'
According to the given information, the total number of cities visited by both bands is 178. Therefore, we can write an equation:
x + (x + 92) = 178
Simplifying the equation:
2x + 92 = 178
Subtracting 92 from both sides:
2x = 178 - 92
2x = 86
Dividing both sides by 2:
x = 86 / 2
x = 43
So, the rock band visited 43 cities, and the jazz band visited 43 + 92 = 135 cities.