SOLUTION: Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 169 cities. The jazz band visited 91 cities more than the rock band. Ho

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Question 623017: Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 169 cities. The jazz band visited 91 cities more than the rock band.
How many cities did the jazz band visit?

Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
both bands went to 169 cities together
the jazz band went on to 91 more cities
so you will add 169+91=260

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 169 cities. The jazz band visited 91 cities more than the rock band.

How many cities did the jazz band visit?

Let the amount of cities visited by the jazz and rock bands be j and r, respectively

Then, j + r = 169 ------- eq(i)
Also, j = r + 91 --- j - r = 91 ---- eq (ii)
2j = 260 ----- Adding eqs (i) and (ii)

j, or the amount of cities that the jazz band visited = 260%2F2, or highlight_green%28130%29

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