Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only had$28 to spend. More people want chicken salad. Write and graph one equation in a system for this situation.

Ok, with that information we can write the equations

x + y = 6

5x + 4y = 28

Where x = how many people ordered chicken

and y = how many people ordered egg salad

Through elimination, we can set one of the variables in both equations equal so we can eliminate it:

(4) x + (4) y = (4) 6

5x + 4y = 28

4x + 4y = 24. equation 1

5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:

equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value (How many people ordered chicken salad), we can apply it to one of the equations and discover y (how many people ordered egg salad)

x + y = 6

x = 4

4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:

4 - 4 + y = 6 - 4

y = 2

x=4 and y=2

So the awnser is:

4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!

p. s if you want to know how to use another method to solve these problems (Substition), just let me know in a comentary down here