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).
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.2: Solve Systems Of Equations By Substitution
Problem 5.48TI: Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each...
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(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.
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