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 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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