Question 61282
Let x=number of seats in the orchestra section
Then 360-x=number of seats in the balcony section

Now we know that the amt of $taken in by selling all the orchestra seats (x)($45) plus the amt of $ taken in by selling all the balcony seats (360-x)($35)has to equal total amt taken in ($15,150) when all seats are sold.  Thus, our equation to solve is:

45x+(360-x)(35)=15150 simplifying, we get:
45x-35x=15150-12600 or
10x=2550
x=255 seats in the orchestra section
360-x=360-255=105 seats in the balcony section

Hope this helps----ptaylor