Answer:
Number of orders served by Tammy = 24
Number of orders served by Ali = 32
Number of orders served by Bill = 72
Explanations:
The number of orders served by Tammy = t
The number of orders served by Ali = a
The number of orders served by Bill = b
Total orders served by the three of them = 128
t + a + b = 128........................(1)
Bill served 3 times as many orders as Tammy
b = 3t..................................................(2)
Ali served 8 more orders than Tammy
a = t + 8..............................................(3)
Substitute equations (2) and (3) into equation (1)
t + (t + 8) + 3t = 128
t + t + 3t + 8 = 128
5t = 128 - 8
5t = 120
t = 120/5
t = 24
Number of orders served by Tammy = 24
Substitute t = 24 into equation (2)
b = 3t
b = 3(24)
b = 72
Number of orders served by Bill = 72
Substitute t = 24 into equation (3)
a = t + 8
a = 24 + 8
a = 32
Number of orders served by Ali = 32