A bank teller has a total of 74 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $920. (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 = 74 5x + 10y + 20z = 920 (Do not factor. Use integers or decimals for any numbers in the expressions.) There are a total of 19 solutions. (b) The solution with the smallest number of five-dollar bills is when the bank teller has | five(s), O ten(s), andO twenty(twenties).

A bank teller has a total of 74 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $920. (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 = 74 5x + 10y + 20z = 920 (Do not factor. Use integers or decimals for any numbers in the expressions.) There are a total of 19 solutions. (b) The solution with the smallest number of five-dollar bills is when the bank teller has | five(s), O ten(s), andO twenty(twenties).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Please help!!

(a) Find the total number of solutions.

(b) Find the solution with the smallest number of five-dollar bills.

A bank teller has a total of 74 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $920.
(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 = 74
5x + 10y + 20z = 920
(Do not factor. Use integers or decimals for any numbers in the expressions.)
There are a total of 19 solutions.
(b) The solution with the smallest number of five-dollar bills
when the bank teller has five(s), ten(s), and twenty(twenties).

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