You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 9 bread rolls, 13 defrosted beef patties, and 11 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 bread roll, double cheeseburgers each require 2 beef patties, 1 bread roll, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bread roll, and 1 slice of cheese. How many of each should you make?

Question

Rhett Montes

Mathematics

27 April, 03:22

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 9 bread rolls, 13 defrosted beef patties, and 11 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 bread roll, double cheeseburgers each require 2 beef patties, 1 bread roll, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bread roll, and 1 slice of cheese. How many of each should you make?

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Answers (1)

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Brewster · Answer 1

4 double cheese burgers, 2 plain hamburgers, 3 cheeseburgers

Step-by-step explanation:

You have 13 patties, 9 breads, and 11 cheeses. So 4 double cheeseburgers take 8 patties, 8 cheeses, and 4 bread rolls, leaving you with 5 patties, 5 breads, and 3 cheeses. Then 2 plain hamburgers give you 3 patties, 3 breads, and 3 cheeses. And lastly you can make 3 cheese burgers.