**Solving a Word Problem with Three Unknowns Using a Linear Equation**Carmen, Deandre, and Aldo served a total of 81 orders Monday at the school cafeteria. Carmen served 9 more orders than Aldo. Deandre served 2 times as many orders as Aldo. How many orders did they each serve?**Variables:**- Number of orders Carmen served: [ ]- Number of orders Deandre served: [ ]- Number of orders Aldo served: [ ]**Steps to Solve:**1. **Assign Variables:** Let $ x $ represent the number of orders Aldo served.2. **Express Other Variables in Terms of $ x $:** - Since Carmen served 9 more orders than Aldo, let Carmen’s orders be $ x + 9 $. - Since Deandre served 2 times as many orders as Aldo, let Deandre’s orders be $ 2x $.3. **Set Up the Equation:** The total number of orders served is given by the sum of the orders served by Carmen, Deandre, and Aldo, which equals 81. \[ x + (x + 9) + 2x = 81 \]4. **Combine Like Terms:** \[ 4x + 9 = 81 \]5. **Solve for $ x $:** \[ 4x = 72 \\ x = 18 \]6. **Substitute Back to Find Each Person’s Orders:** - Aldo’s orders: $ x = 18 $ - Carmen’s orders: $ x + 9 = 18 + 9 = 27 $ - Deandre’s orders: $ 2x = 2 \times 18 = 36 $**Answers:**- Number of orders Carmen served: 27- Number of orders Deandre served: 36- Number of orders Aldo served: 18**Interactive Elements:**[Explanation] [Check]_This problem helps students understand how to translate word problems into algebraic expressions and equations, and then solve for the unknowns._ © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | [Explanation] [Check]

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Hampshire Univer x 0 Home - » Students B 8-2 SmartBook Assignment: Char X 5Question 2-8-3 Homework Cha X b My Questions | bartleby https://ezto.mheducation.com/ext/map/index.html?_con3con&external_browser=D0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.com%252F#/activity/c Homework: Chapter 8 (Sections 8.4 through 8.6) i Saved 2 (a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error pints (a) o = 18, n = 9 (b) o = 18, n = 36 %3D (c) o = 18, n = 144 eBook (b) What happens to the standard error each time you quadruple the sample size? Ask The standard error is (Click to select) vby half. Print References
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