A bank teller has a total of 73   bills in​ five-, ten-, and​ twenty-dollar denominations. The total value of the money is ​$900 .   ​(a) Find the total number of solutions. ​(b) Find the solution with the smallest number of​ five-dollar bills. ​(c) Find the solution with the largest number of​ five-dollar bills. ​(a) Let x be the number of​ five-dollar bills, y be the number of​ ten-dollar bills, and z be the number of twenty dollar bills. Translate the given information into two​ equations, using​ x, y, and z as the variables.   nothing equals 73   nothing equals 900

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A bank teller has a total of

73
 

bills in​ five-, ten-, and​ twenty-dollar denominations. The total value of the money is

​$900
.
 
​(a) Find the total number of solutions.
​(b) Find the solution with the smallest number of​ five-dollar bills.
​(c) Find the solution with the largest number of​ five-dollar bills.
​(a) Let x be the number of​ five-dollar bills, y be the number of​ ten-dollar bills, and z be the number of twenty dollar bills. Translate the given information into two​ equations, using​ x, y, and z as the variables.
 
nothing
equals
73
 
nothing
equals
900
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