Question 481317: a) The sales representative here tells you they also have two floor plans available, but they only have 50 homes available. The representative tells you that floor plan #1 sells for $150,000 and floor plan #2 sells for $100,000. She also mentions that all the available houses combined are worth $7 million. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2
b) Use elimination method to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! The total number of houses is 50
x+y=50..............1
The value of both plans = 7,000,000
150,000x+100,000y=7,000,000...........2
Plan I x Numbers
Plan II y Numbers
1 x + 1 y = 50 .............1
150000 x + 100000 y = 7000000 .............2
Eliminate y
multiply (1)by -100000
Multiply (2) by 1
-100000 x -100000 y = -5000000
150000 x + 100000 y = 7000000
Add the two equations
50000 x= 2000000
/ 50000
x = 40
plug value of x in (1)
1 x + 1 y = 50
40 + 1 y = 50
1 y = 50 -40
1 y = 10
y = 10
Plan I 40 Numbers
Plan II 10 Numbers
m.ananth@hotmail.ca
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