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 be the number of $20 bills and the number of $50 bills that he receives.
Find a system of linear equations in and that expresses the information given in the problem.
Write your linear system as a matrix equation of the form .
Find , and use it to solve your matrix equation in part . How many bills of each type did Brodie receive?
System of linear equation satisfying given conditions.
Let be the number of $20 bills and the number of $50 bills that Brodie receives.
Condition I: He withdrew $600.
Equation I: .
Condition II: He receives 18 bills from the ATM.
Matrix equation of the form .
The inverse matrix , and hence the solution of matrix equation .
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