Hello
5 adults and 3 teenagers for one day   paid them a total of $224 per hour
5A  + 3T  = 8 * 224
3 adults and 5 teenagers for one day   paid them a total of $160 per hour
3A  + 5T  = 8 * 160
Adding both
=>  8A + 8T = 8 * 224 +  8 * 160
=> A + T  =  384
2A - 2T  = 8(64)
=> A - T  = 256
2A =  640
=> A = 320
  T  = 64
The hourly rate paid day to each adult is $320