Question

1. You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 9 buns, 11 defrosted beef patties, and 8 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? HINT [See Example 1.]

plain burgers=

double cheeseburgers=

regular cheeseburgers=

2. A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $209 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 65. The number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. Write a system of linear equations to represent the situation. Then use matrices to find the number of each denomination.

	$1 bills
	$5 bills
	$10 bills
	$20 bills

Answer 1

Thus, we can make 3 plain burgers, 2 double cheese burgers and 4 regular cheese burgers.