1. + n3 points l Previous Answers waneFMAC7 43.002. My Notes Ask Your Teac You o

Question

1. + n3 points l Previous Answers waneFMAC7 43.002. My Notes Ask Your Teac You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 13 buns, 16 defrosted beef patties, and 12 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 beepatty, 1 bun, and 1 slice of cheese. How many of each should you make? HINT [See Example 1.] plain burgers double cheeseburgers 3 regular cheeseburgers 18

Explanation / Answer

Let x= plain burgers

Y=double cheese burgers

Z=regular cheese burgers

1) Bun equation: x+y+z=13 -----(1)

2) Beef patties equation: x+2y+z=16 -----(2)

3) Cheese slices equation: 2y+z=12 -----(3)

Solving (1) & (2) , we can get y=3.

Solving (2) & (3) , we can get x=4.

Put x=4 & y=3 values in equation (1), we get z=6.

So ,

Plain burgers = 4

Double cheese burgers = 3

Regular cheese burgers = 6

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