Homework Help: Algebra

Posted by A.W. on Friday, March 13, 2009 at 6:47pm.

Can somebody help me please? 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 rep. 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. I know this is x+y=38. But after that I get lost with the rest of this problem
b.) The rep. 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 the situation. Use the same variables you used in part a.
c.) Use elimination to determine how many house with each floor plan are available. Explain how you arrived at your answer. HELP!!!! ME!!!! PLEASE!!!!

Algebra - GanonTEK, Friday, March 13, 2009 at 9:48pm
x = number of houses with floor plan 1
y = number of houses with floor plan 2

x(175,000) + y(200,000) = 7,200,000

7,200,000 is the value of the 38 houses
made up of a number of plan 1 houses (x) and a number of plan 2 houses (y).

Then solve simultaneously to find x and y.
First tidy up the above equation
x+(200/175)*y = (7200/175)
x+(8/7)*y = (288/7)

now solve

x + y = 38 and
x + (8/7)y = (288/7)

to get y = 22 and x = 16.

Ok, hope that helps

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