Question

Two of the top grossing concert tours were by a jazz band and a rock band. Together the two tours visited 183 cities. The jazz band had visited 97 cities more than the rock band. How many cities did each group visit.

I cant really translate word problems too well can anyone show me how I would set this up and solve it?

Answer 1

Let x be the no. of tours visited by rock band and then the jazz band's tours will be x+97,
\[x+(x+97) =183\]You can solve the rest right

Answer 2

Let j = jazz band
Let r = rock band

Both visited 183 cities in all

j + r = 183

Jazz band visited 97 more than r =
j = r+ 97

Substitute in the equation before giving
r +97) + r = 183

Answer 3

so would i subtract 97 from both sides?

Answer 4

yes after that divide both sides by two as you would get 2x=86

Answer 5

so x=43?

Answer 6

yes

Answer 7

so now that i have 43 i substitute that for y? in the equation

Answer 8

we assumed x to be the no. of tours rock band visited so the jazz band will have visited x+97=143 tours

Answer 9

so i plug in 43+97=143?

Answer 10

yes