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
Learn more:
You can learn more about word problems in brainly.com/question/317601
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