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).

Jim has $530 in his savings account and adds $11 per week. At the same time, Rhonda has $210 in her savings account and adds $19 per week. (a) How long will it take for Rhonda to have the same amount as Jim? weeks (b) How much will each have? 2$ Additional Materials O eBook

A cinema has a fixed cost of $1,036 per day, and a variable cost of $8 per ticket sold to a customer. The cinema charges $20 for a ticket. Find the profit if 96 tickets are sold. [Write the solution as an integer number]

A bank teller has a total of 63 bills in​ five-, ten-, and​ twenty-dollar denominations. The total value of the money is $730. (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.   ______=63 ______=730   Thus, the solution with the largest number of​ five-dollar bills is when the bank teller has_____fives,______​tens, and_______twenties.   (Do not factor. Use integers or decimals for any numbers in the​ expressions.)