Answer:
Part a) The variables are
x (the number of packages of Twinkies that were sold)
y (the number o boxes of juice that were sold)
Part b) The system of equations is
and
Part c) ![x=37,y=42](https://tex.z-dn.net/?f=x%3D37%2Cy%3D42)
Part d) The value of y represent the number of boxes of juice that were sold ![y=42\ boxes\ of\ juice](https://tex.z-dn.net/?f=y%3D42%5C%20boxes%5C%20of%5C%20juice)
The value of x represent the number of packages of Twinkies that were sold ![x=37\ packages\ of\ Twinkies](https://tex.z-dn.net/?f=x%3D37%5C%20packages%5C%20of%5C%20Twinkies)
Step-by-step explanation:
Part a) Define the variables in this situation
Let
x-----> the number of packages of Twinkies that were sold
y----> the number of boxes of juice that were sold
Part b) Write a system of equations that model the problem
we know that
------> equation A
---> equation B
Part c) Use the linear combination method to find the solution to the system you wrote in part b
Multiply equation A by -1.65
------> equation C
Adds equation C and equation B
![-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42](https://tex.z-dn.net/?f=-1.65x-1.65y%3D-130.35%5C%5C1.65x%2B1.36y%3D118.17%5C%5C---------%5C%5C-1.65y%2B1.36y%3D-130.35%2B118.17%5C%5C-0.29y%3D-12.18%5C%5Cy%3D42)
Find the value of x
![x+42=79](https://tex.z-dn.net/?f=x%2B42%3D79)
![x=79-42=37](https://tex.z-dn.net/?f=x%3D79-42%3D37)
Part d) Using a complete sentence, explain what the solution found in part c represents
The value of y represent the number of boxes of juice that were sold
so
![y=42\ boxes\ of\ juice](https://tex.z-dn.net/?f=y%3D42%5C%20boxes%5C%20of%5C%20juice)
The value of x represent the number of packages of Twinkies that were sold
so
![x=37\ packages\ of\ Twinkies](https://tex.z-dn.net/?f=x%3D37%5C%20packages%5C%20of%5C%20Twinkies)