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lisabon 2012
14 days ago
9

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?
Business
1 answer:
Free_Kalibri [3.4K]14 days ago
3 0

Answer:

Hamburgers = 27

Sodas = 93

Explanation:

Let        x = Hamburgers

             y= Sodas

Now create a system of equations aX + bY = C

where

a= 1.75 = coefficient of variable X

b= 0.75 = coefficient of variable Y

C= 117.50

Substituting the values into the aforementioned equation

           1.75x + 0.75y = 117.50..... (1)

Considering that I sold a total of 120 hamburgers and sodas, we can formulate

            x + y = 120..... (2)

or          y = 120 - x....... insert this value into equation 1

           1.75x + 0.75( 120 - x ) = 117.50

           1.75x + 90 - 0.75x = 117.50

            90 + x = 117.50

             x = 117.50 - 90

             x = 27 .......... substitute this in equation 2

     

          x + y = 120

          27 + y = 120

          y = 120 - 27

           y = 93

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