SOLUTION: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it. a) The sales representa

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Question 170401: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the number of floor plan 1, x and the number of floor plan 2, y.
:
x+y=38............eq 1
175000x+200000y=7200000...eq 2
:
highlight%28x=16%29plan 1 houses highlight%28y=22%29plan 2 houses
:
Solved by pluggable solver: Linear System solver (using determinant)
Solve:


Any system of equations:


has solution

or



(x=16, y=22}