SOLUTION: Bon Jovi and Bruce Springsteen had the two top-grossing North American concert tours for 2008. Together generating $415.3 million in ticket sales. If Bruce Springsteen took in $6.1

Algebra ->  Linear-equations -> SOLUTION: Bon Jovi and Bruce Springsteen had the two top-grossing North American concert tours for 2008. Together generating $415.3 million in ticket sales. If Bruce Springsteen took in $6.1      Log On


   



Question 990886: Bon Jovi and Bruce Springsteen had the two top-grossing North American concert tours for 2008. Together generating $415.3 million in ticket sales. If Bruce Springsteen took in $6.1 million less than Bon Jovi, how much did each tour generate?

My work:
J= Bon Jovi
S= Bruce Springsteen
J + S = 415.3
J - 6.1
S + J-6.1 = 415.3

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
SOLVING A SYSTEM OF EQUATIONS:
J= Bon Jovi's ticket sales
S= Bruce Springsteen's ticket sales
"Together generating $415.3 million in ticket sales" translates as
J+%2B+S+=+415.3
"Bruce Springsteen took in $6.1 million less than Bon Jovi" translates as
S+=+J+-+6.1
You could say that you have the system of linear equations system%28J+%2B+S+=+415.3%2CS+=+J+-+6.1%29
Substituting the expression J+-+6.1 for S
into the equation J+%2B+S+=+415.3 , we get
J+%2B+J+-+6.1+=+415.3 ---> 2J-6.1+=+415.3 ---> 2J+=+415.3%2B6.1 ---> 2J+=+421.4 ---> J+=+421.4%2F2 ---> highlight%28J+=+210.7%29 .
Then, S+=+210.7+-+6.1 ---> highlight%28S+=+204.6%29= Bruce Springsteen's ticket sales (in millions).

NOT EVEN MENTIONING A SYSTEM OF EQUATIONS:
J= Bon Jovi's ticket sales (in millions)
J-6.1= Bruce Springsteen's ticket sales (in millions), because "Bruce Springsteen took in $6.1 million less than Bon Jovi".
"Together generating $415.3 million in ticket sales" translates as
J+%2B+J-6.1+=+415.3 ---> 2J-6.1+=+415.3 ---> 2J+=+415.3%2B6.1 ---> 2J+=+421.4 ---> J+=+421.4%2F2 ---> highlight%28J+=+210.7%29 .
Then, J+-+6.1+=+210.7+-+6.1 ---> highlight%28J-6.1+=+204.6%29= Bruce Springsteen's ticket sales (in millions).