could have all the money in his wallet if he were able to guess how many of each kind of bill be had. H are the clues he gave: I have only 3 denominations of bills - $5 bills, $10 bills and $20 bills. I have a total of 17 bills in my wallet. ● The value of all the money in my wallet is $180. ● I have twice as many $5 bills as I do $10 bills. Write a system of 3 linear equations to represent this situation and then use matrices to solve for x, th number of $5 bills, y, the number of $10 bills and z, the number of $20 bills in his wallet.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10. Raul has an uncle who likes to play games when he visits. On his most recent visit, he told Raul that he
could have all the money in his wallet if he were able to guess how many of each kind of bill be had. Here
are the clues he gave:
I have only 3 denominations of bills - $5 bills, $10 bills and $20 bills.
●
I have a total of 17 bills in my wallet.
●
The value of all the money in my wallet is $180.
●
I have twice as many $5 bills as I do $10 bills.
Write a system of 3 linear equations to represent this situation and then use matrices to solve for x, the
number of $5 bills, y, the number of $10 bills and z, the number of $20 bills in his wallet.
Transcribed Image Text:10. Raul has an uncle who likes to play games when he visits. On his most recent visit, he told Raul that he could have all the money in his wallet if he were able to guess how many of each kind of bill be had. Here are the clues he gave: I have only 3 denominations of bills - $5 bills, $10 bills and $20 bills. ● I have a total of 17 bills in my wallet. ● The value of all the money in my wallet is $180. ● I have twice as many $5 bills as I do $10 bills. Write a system of 3 linear equations to represent this situation and then use matrices to solve for x, the number of $5 bills, y, the number of $10 bills and z, the number of $20 bills in his wallet.
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