A bank teller has a total of 74 bills in five-, ten-, and twenty-dollar denominations. The total value of the money is $750. (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 = 750 (Do not factor. Use integers or decimals for any numbers in the expressions.) There are a total of 25 solutions. (b) The solution with the smallest number of five-dollar bills is when the bank teller has 8 five(s), 7 tens, and 7 twenties.