Question

PLEASE HELP!! At a celtic music festival, the tickets for the main stage cost $45, and tickets for the second stage cost $20.

Answer 1

A.) m + s = 325 
     45m + 20s = 12,000

b.) 220 people attended main stage

c.) 105 people attended second stage


How you figure this out:

You can first find the value of (s) by using m + s = 325 and subtracting m from both sides. This leaves you with s = -m + 325 as the value of s. Now substitute that into the equation 45m + 20s = 12,000 and you should have something like this -> 45m + 20 (-m + 325) = 12,000   Now distribute the 20 to both (-m) and (325) which then leaves you with this ->  45m - 20m + 6,500 = 12,000
Next thing you would do is combine like terms which in the case is 45m and -20m. Now combine those term to get -> 25m + 6,500 = 12,000  Now you would subtract 6,500 from both sides and then that would leave you with this  -> 25m = 5,500 Lastly divide 25 into both sides to get your solution for m,  m = 220.  Now that you know the value of (m), substitute it into the equation   M + S = 325 and it would look like this -> 220 + s = 325  now you would subtract 220 from both sides to get your solution for s, s = 105  

I really hope this helps and let me know if you have any questions! :)