Answer:
261 adults, 271 senior citizens, 302 children
Step-by-step explanation:
Let's define our variables
x: adults
y: senior citizens
z: children
From this "834 tickets sold" we have that
x+y+z=834 (1)
From this "There were 41 more children that adults" we have that
x+41=z (2)
From This "the paid revenue was $11,338" we have that
23x+13y+6z=11338 (3)
If we plug (2) in (1) and (3) we get:
x+y+x+41=834
2x+y=793
y=793-2x (4)
23x+13y+6(41+x)=11338
23x+13y+6x=11338-246
29x+13y=11092 (5)
plugging (4) in (5)
29x+13(793-2x)=11092
29x+10309-26x=11092
3x=783
x=261 adults (6)
(6) in (4)
y=793-2(261)=271 senior citizens
(6) in (2)
261+41=z
z=302 children
