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Question 207951: You are in the market for a new home. You're looking at a housing community. As you leave the housing community, you notice another new community just down the road. Because you're in the area, you decide to inquire about it.
a) The sales rep. here tells you they have two floor plans available, but 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. He also mentions that all the available homes 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 rfer(16322)   (Show Source):
You can put this solution on YOUR website! x+y=38 x=38-y
175000x+200000y=7200000
175000(38-y)+200000y+7200000
6650000-175000y+200000y=7200000
25000y=55000
y=22
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22*200000=4400000
16*175000=2800000
total 7200000
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y=22
x=16
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