Systems of equations are used in many cost models in the real world. Here is an example scenario for you to consider.

· Suppose you are running a carnival. You are selling hamburgers and sodas. A hamburger is $1.75 and a soda is .75. 

· You expect to make a total of $117.50 for the day

· You also plan to sell 120 hamburgers and sodas

· How many sodas and hamburgers will you sell each? 

· Suppose you decide to change the price ratio between hamburgers and soda’s so that they produce a more equal consumption of hamburgers and sodas.

· What would you change the price to for each and why?

· What would be the new amount of hamburgers and soda each at your price points?

Peer Response: Unit 3,

Unit 3 Discussion

Instructions:

Please respond to at least one peer.

In your response:

· Consider your peer’s example.

· How does it compare to the scenario provided?

· How does their example contribute to your understanding of systems of equations?

· Is their example something you might see in your profession as well?

· How would it be similar?

· How would it be different?

· Did the changes to the equations make sense to you? Why or why not?

Please be sure to validate your opinions and ideas with citations and references in APA format.

Estimated time to complete: 1 hour

Unit 3 

Suppose you work for a primary care clinic in peak influenza season. Each pre-dosed vaccine costs $15 and their nurse visit costs $20. At the end of your clinic day, you made $2,000. You saw 55patients.

The equation would be

15v+ 20n=2000

The quantity equation would be

V+n=55

Use the substitution method

15(55- n)+20n=2000

Simplify and solve for n

825-15n+20n=2000

-15n+20n=5n

825+5n=2000

Subtract 825 from both sides

5n=1175

Divide by 5

N=235

Substitute N back into the quantity equation to find V

V+235=55

V=235-55

Subtract

V= 180