Explanation Given Information: William wishes to make 15 pound mixture of cashews and pecans that sells for $ 10 per pound and local nut shop sells cashews $ 12 per pound and pecans $ 6 per pound. Formula used: Substitution method to solve a linear system of equations: Step1. Solve the any of the equations to obtain the expression of one variable into another. Step2. Put the expression in the other equation so that we have the equation of one variable. Step3. Compute the equation obtained in step2 and find the value of one variable. Step4. Put the value obtained in step3 of one variable in any of the original equation to obtain other one. Step5. Write the value of variables in correct order. Step6. Check the solution by putting the calculated value in all equations in the system. Calculation: Let the amount of cashew is x and the amount of pecans is y. William wishes to make 15 pound mixture of cashews and pecans, the first equation is, x + y = 15 x = 15 - y William mixes x amount of cashew which costs $ 12 a pound with y amount of pecans which cost $ 6 a pound to obtain 15 pound mixture that sell for $ 10 per pound, the second equation is, 12 x + 6 y = 10 ( 15 ) 12 x + 6 y = 150 The system of two equations is: x = 15 − y …… ( 1 ) 12 x + 6 y = 150 …… ( 2 ) To determine y , substitute 15 − y into equation ( 2 ) for x . 12 x + 6 y = 150 12 ( 15 − y ) + 6 y = 150 180 − 12 y + 6 y = 150 Further solve the above equation

Intermediate Algebra For College Students (9th Edition)

9th Edition

ISBN: 9780321927354

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 4.3, Problem 14MCT

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To calculate: Pounds of each type of nut that William mix provided that he wishes to make 15 pound mixture of cashews and pecans that sells for $10 per pound and local nut shop sells cashews $12 per pound and pecans $6 per pound.

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Chapter 4.3, Problem 13MCT

Chapter 4.3, Problem 15MCT

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Pounds of each type of nut that William mix provided that he wishes to make 15 pound mixture of cashews and pecans that sells for $ 10 per pound and local nut shop sells cashews $ 12 per pound and pecans $ 6 per pound.

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To calculate: Pounds of each type of nut that William mix provided that he wishes to make 15 pound mixture of cashews and pecans that sells for $10 per pound and local nut shop sells cashews $12 per pound and pecans $6 per pound.

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Chapter 4 Solutions