document.write( "Question 143563: Again I beleive I have a, b done but need help with c, can someone help please?\r
\n" ); document.write( "\n" ); document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "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. x + y = 38\r
\n" ); document.write( "\n" ); document.write( "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. $175000x + $200000y = 7200000\r
\n" ); document.write( "\n" ); document.write( "c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer. \r
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Algebra.Com's Answer #104481 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x + y = 38
\n" ); document.write( "$175000x + $200000y = 7200000\r
\n" ); document.write( "\n" ); document.write( "c)Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
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\n" ); document.write( "Simplify the 2nd equation by dividing thru by 5000 to get:
\n" ); document.write( "35x + 40y = 1440
\n" ); document.write( "x + y = 38
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\n" ); document.write( "Multiply thru the 2nd equation by 35 to get:
\n" ); document.write( "35x + 35y = 35*38
\n" ); document.write( "35x + 40y = 1440
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\n" ); document.write( "Subtract the 1st from the 2nd equation to get:
\n" ); document.write( "5y = 10
\n" ); document.write( "y = 2 (# of floor plan #1 houses)
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\n" ); document.write( "Substitute into x + y = 38 to solve for \"x\":
\n" ); document.write( "x + 2 = 38
\n" ); document.write( "x = 36 (# of floor plan #2 houses)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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