13. -16.66 points WaneFMAC7 4.3.002 My Notes Ask Your Teacher You own a hamburge

Question

13. -16.66 points WaneFMAC7 4.3.002 My Notes Ask Your Teacher You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 13 buns, 18 defrosted beef patties, and 16 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

Explanation / Answer

let

plain =x

double =y

regular=z

then

x+y+z =13

x+2y+z =18

2y+z =16

Subtract first two eqautions to obtain

y= 18 -13 =5

plug in to last

2*5 +z =16

z =16 -10 =6

hence

x =13 -6 -5 = 2

Thus

plain =2

double =5

regular=6

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