Answer:
211 balcony seats and 297 orchestra seats
Explanation:
x = Orchestra seats
y = Balcony seats
Total person at concert = 508
So x + y = 508
Cost
Orchestra seat $25x
Balcony seats $18y
Total money $11,223
So $25x + $18y = $11,223
Solving x + y = 508
$25x + $18y = $11,223
Solving the first equation for x and substituting x into the second equation then solve for y.
x + y = 508
x = 508 - y substituting x = 508 -y in second equation
25(508 - y) + 18y = 11,223
12700 - 25y + 18y = 11,223
12700 - 7y = 11223
-7y = 11223 - 12700
-7y = -1477
y = -1477 ÷ -7
y = 211 balcony seats
x + y = 508
x + 211 = 508
x = 508 - 211
x = 297 orchestra seats