Explanation Given: The cost of 8 sheets of colored paper and 3 marker pens together is $ 6.50 . The cost of 2 sheets of colored paper and 2 marker pens together is $ 3.00 . Calculation: Step 1: Read the problem. It has been asked that the cost of 1 marker pen and that of 1 sheet of colored paper be found. Step 2: In this step, the unknown values are assigned variables. The unknown values refer to the cost of a marker pen and that of a sheet of colored paper. Let the variables m and c denote the respective costs of 1 marker pen and 1 sheet of colored paper. Step 3: Write a system of equations. Since, the cost of 8 sheets of colored paper and 3 marker pens together is $ 6.50 , one equation can be found as: 8 c + 3 m = 6.5 . …… (1) Since, the cost of 2 sheets of colored paper and 2 marker pens together is $ 3.00 , the second equation can be found as: 2 c + 2 m = 3 . …… (2) Step 4: Solve the system of equations. Eliminate c . Multiply both the sides of the second equation by − 4 and then, add the two equations as: 8 c + 3 m = 6.5 − 8 c − 8 m = − 12 _ − 5 m = − 5.5 Divide both the sides by − 5 to get, − 5 m − 5 = − 5.5 − 5 m = 1

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 6E

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To Calculate: The cost of 1 marker pen and that of 1 sheet of colored paper, where it is provided that the cost of 8 sheets of colored paper and 3 marker pens together is $6.50 and the cost of 2 sheets of colored paper and 2 marker pens together is $3.00.

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Chapter 8.8, Problem 5E

Chapter 8.8, Problem 7E

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Chapter 8 Solutions

Mathematical Ideas (13th Edition) - Standalone book

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The cost of 1 marker pen and that of 1 sheet of colored paper, where it is provided that the cost of 8 sheets of colored paper and 3 marker pens together is $ 6.50 and the cost of 2 sheets of colored paper and 2 marker pens together is $ 3.00 .

Solution Summary: The author calculates the cost of 1 marker pen and 1 sheet of colored paper by reading the problem and writing a system of equations.

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To Calculate: The cost of 1 marker pen and that of 1 sheet of colored paper, where it is provided that the cost of 8 sheets of colored paper and 3 marker pens together is $6.50 and the cost of 2 sheets of colored paper and 2 marker pens together is $3.00.

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