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Question 1110860: You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 15 defrosted beef patties, and 10 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?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 15 defrosted beef patties, and 10 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?
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beef patty Eq:: p + 2d + r = 15
buns Eq::::::: p + d + r = 11
cheese Eq::::: 0 + 2d + r = 10
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Use any method you know to solve this 3-equation system to get:
p = 5 (# of plain burgers)
d = 4 (# of double burgers)
r = 2 (# of regular burgers)
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Cheers,
Stan H.
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