Heather, deon, and ali served a total of 106 orders. deon served 4 times as many as ali. heather served 10 more orders then ali. how many orders did they each serve.

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.

Step-by-step explanation:

Let order served by

Heather be h

Deon be d

Ali be a

We can write 3 equations from the word problem:

h + d + a = 106

d = 4a

h = 10 + a

We put 2nd and 3rd equation in first and solve for a:

h + d + a = 106

10 + a + 4a + a = 106

6a = 96

a = 16

Now,

d = 4a = 4(16) = 64

and

h = 10 + a = 10 + 16 = 26

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.