Question

 MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!
2. Mr. Santander’s class sold packages of two Twinkies for $1.65 each and Mr. Perry’s class sold juice boxes for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. How many of each item did the classes sell?
(a) Define the variables in this situation.
(b) Write a system of equations that model the problem.
(c) Use the linear combination method to find the solution to the system you wrote in part b. Show all your work!
(d) Using a complete sentence, explain what the solution found in part c represents.

Answer 1

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

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

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

$x+y=79$ ------> equation A  

$1.65x+1.36y=118.17$ ---> 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

$-1.65(x+y)=-1.65*79$  

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

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

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

so

$x=37\ packages\ of\ Twinkies$