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 reserved 16 orders, Deon served 64 orders and Heather served

26 orders

Step-by-step explanation:

The given is:

1. Heather, Deon, and Ali served a total of 106 orders

2. Deon served 4 times as many as Ali

3. Heather served 10 more orders then Ali

We need to find each one served how many orders

Assume that Ali served x orders

∵ Ali served x orders

∵ Deon served 4 times as many as Ali

∴ Deon served 4 x orders

∵ Heather served 10 more orders then Ali

∴ Heather served x + 10 orders

∵ They served a total 106 orders

- Equate the sum of their orders by 106

∴ x + 4 x + x + 10 = 106

- Add like terms in the left hand side

∴ 6 x + 10 = 106

- Subtract 10 from both sides

∴ 6 x = 96

- Divide both sides by 6

∴ x = 16

∵ x represents Ali orders

∴ Ali served 16 orders

∵ 4 x represents Deon orders

∴ Deon served = 4(16) = 64 orders

∵ x + 10 represents Heather orders

∴ Heather served = 16 + 10 = 26 orders

Ali reserved 16 orders, Deon served 64 orders and Heather served

26 orders

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