Explanation Given: Two cappuccinos and three café mochas together cost $ 17.15 . One cappuccino and two café mochas together cost $ 10.37 . Calculation: Step 1: Read the problem. It is asked to find the cost of each type of beverage. Step 2: Assign variables to unknown values. The unknown values are the costs of one cappuccino and one café mocha. Let the variables x and y denote the cost of one cappuccino and one café mocha, respectively. Step 3: Write a system of equations. Since, 2 cappuccinos and 3 café mochas together cost $ 17.15 , one equation can be found as: 2 x + 3 y = 17.15 . …… (1) Since, 1 cappuccino and 2 café mochas together cost $ 10.37 , second equation can be found as: x + 2 y = 10.37 . …… (2) Step 4: Solve the system of equations. Begin by eliminating x . Multiply both sides of equation (2) by − 2 , then add the two equations: 2 x + 3 y = 17.15 − 2 x − 4 y = − 20.74 − y = − 3.59 Divide both sides by − 1 : − y − 1 = − 3

Mathematical Ideas (13th Edition) - Standalone book

13th Edition

ISBN: 9780321977076

Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren

Publisher: PEARSON

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Chapter 8.8, Problem 9E

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To calculate: The costs of one cappuccino and one café mocha if two cappuccinos and three café mochas together cost $17.15, and at another table one cappuccino and two café mochas together cost $10.37.

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Chapter 8.8, Problem 8E

Chapter 8.8, Problem 10E

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Mathematical Ideas (13th Edition) - Standalone book

Ch. 8.1 - Fill in each blank with the correct response. 1....Ch. 8.1 - Fill in each blank with the correct response. For...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Prob. 9E Ch. 8.1 - Locate the following points on the rectangular...

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The costs of one cappuccino and one café mocha if two cappuccinos and three café mochas together cost $ 17.15 , and at another table one cappuccino and two café mochas together cost $ 10.37 .

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To calculate: The costs of one cappuccino and one café mocha if two cappuccinos and three café mochas together cost $17.15, and at another table one cappuccino and two café mochas together cost $10.37.

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