MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer:Part a) The variables arex (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 [tex]x+y=79[/tex] and [tex]1.65x+1.36y=118.17[/tex] Part c) [tex]x=37,y=42[/tex]Part d) The value of y represent the number of boxes of juice that were sold [tex]y=42\ boxes\ of\ juice[/tex]The value of x represent the number of packages of Twinkies that were sold [tex]x=37\ packages\ of\ Twinkies[/tex]Step-by-step explanation:Part a) Define the variables in this situationLetx-----> the number of packages of Twinkies that were soldy----> the number of boxes of juice that were soldPart b) Write a system of equations that model the problemwe know that[tex]x+y=79[/tex] ------> equation A [tex]1.65x+1.36y=118.17[/tex] ---> equation BPart c) Use the linear combination method to find the solution to the system you wrote in part bMultiply equation A by -1.65[tex]-1.65(x+y)=-1.65*79[/tex] [tex]-1.65x-1.65y=-130.35[/tex] ------> equation CAdds equation C and equation B[tex]-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[/tex]Find the value of x[tex]x+y=79[/tex] [tex]x+42=79[/tex][tex]x=79-42=37[/tex]Part d) Using a complete sentence, explain what the solution found in part c representsThe value of y represent the number of boxes of juice that were soldso[tex]y=42\ boxes\ of\ juice[/tex]The value of x represent the number of packages of Twinkies that were soldso[tex]x=37\ packages\ of\ Twinkies[/tex]