You own a hamburger franchise and are planning to shut down operations for the d

Question

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 13 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?
plain burgers=

double cheeseburgers=

Explanation / Answer

let number of plain burgers=x,double cheeseburgers=y,regular cheeseburgers=z

equations are 1x+ 2y +1z = 15 ,1x+1y+1z=13,2y+1z = 10

1x+ 2y +1z -1x - 1y- 1z= 15-13

=> y =2

2y+1z = 10,y=2

=>(2*2)+z = 10

=>4+z=10

=>z =6

1x+1y+1z=13 , y =2, z=6

=>x +2+6 =13

=> x= 13-8

=>x= 5

so ,you should make

plain burgers= 5

double cheeseburgers= 2

regular cheeseburgers= 6

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