j=Joe and l=Lynn
Set up a system of equations:
(one for total) l+j=56
(one to show Lynn's tickets) l=6j (this means that Lynn's tickets is equal to 6 times Joe's tickets.)
Change l in the first equation with the information from the second equation, so no 6j+j=56. Now combine like terms, so the equation now looks like 7j=56. divide 56 by 7 to equal 8. Now we know that Joe has 8 tickets.
Now take l=6j and since we know that j=8, we can solve for l. l=6x8. Lynn has 48 tickets.
So we have the answer, Lynn has 48 tickets and Joe has 8 tickets.