How many cities did each group visit?

Mathematics
Tutor: None Selected Time limit: 1 Day

2 of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 179 cities. The jazz band visited 95 cities more than the rock band.  How many cities did each group visit?

Jun 7th, 2015

Thank you for the opportunity to help you with your question!

Let the number of cities visited by the rock band be x.


The jazz band visited 95 cities more than the rock band.

So, the number of cities visited by the jazz band = x + 95


Total number of cities visited = 179

x + (x + 95) = 179

x + x + 95 = 179

2x + 95 = 179

2x = 179 - 95

2x = 84

x = 84/2

x = 42


So, number of cities visited by the rock band = x = 42

Number of cities visited by the jazz band = x + 95 = 42 + 95 = 137

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 7th, 2015

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