   Chapter 11.CR, Problem 66E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Distribution of Cash: An ATM at a bank in Qualicum Beach, British Columbia, dispenses $20 and$50 bills. Brodie withdraws $600 from this machine and receives a total of 18 bills. Let x be the number of$20 bills and y the number of $50 bills that he receives. ( a ) Find a system of linear equations in x and y that expresses the information given in the problem. ( b ) Write your linear system as a matrix equation of the form A X = B . ( c ) Find A − 1 , and use it to solve your matrix equation in part ( b ) . How many bills of each type did Brodie receive? To determine (a) To find: System of linear equation satisfying given conditions. Explanation Calculation: Let x be the number of$20 bills and y the number of $50 bills that Brodie receives. Condition I: He withdrew$600.

Equation I: 20x+50y=600.

Condition II: He receives 18 bills from the ATM.

Equation II: x+y=18

To determine

(b)

To find:

Matrix equation of the form AX=B.

To determine

(c)

To find:

The inverse matrix A1, and hence the solution of matrix equation [xy]=.

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