Question

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.

Answer 1

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

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.