Hey there!
Here we want to create 2 equations so we can solve for each variable. We want to let g=general admission and r=reserve seats. We also know that there were 1181 tickets/seats bought and im assuming for a total cost of $5196.50. From this, we can gather that:
g+r=1181
4g+5.5r=5196.5
From this I will use elimination to remove a variable. I will multiply equation 1 by 4 and take it away from equation 2:
4g+4r=4724 (eq 1 * 4, now take this from equation 2)
0g+1.5r=472.5 (now rearrange to find r)
r=315
Now that we know this, we can sub it back into the first equation to find g
g=866
Just to double check you can sub both into either equation to ensure it works:
5196.5=4(866)+5.5(315)
Hope this helped :) let me know how you go!