A bank teller has a total of 73 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $810. (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. x+y+z = 73 5x + 10y + 20z = 810 (Do not factor. Use integers or decimals for any numbers in the expressions.) There are a total of solutions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author: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 $810.
(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.
x+y+z = 73
5x + 10y + 20z = 810
(Do not factor. Use integers or decimals for any numbers in the expressions.)
There are a total of
solutions.
Transcribed Image Text:A bank teller has a total of 73 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $810. (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. x+y+z = 73 5x + 10y + 20z = 810 (Do not factor. Use integers or decimals for any numbers in the expressions.) There are a total of solutions.
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