document.write( "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\r
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document.write( "b) Use elimination method to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
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Algebra.Com's Answer #329598 by mananth(16949) You can put this solution on YOUR website! The total number of houses is 50 \n" ); document.write( "x+y=50..............1 \n" ); document.write( "The value of both plans = 7,000,000 \n" ); document.write( "150,000x+100,000y=7,000,000...........2\r \n" ); document.write( "\n" ); document.write( "Plan I x Numbers \n" ); document.write( "Plan II y Numbers \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 50 .............1 \n" ); document.write( "150000 x + 100000 y = 7000000 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -100000 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-100000 x -100000 y = -5000000 \n" ); document.write( "150000 x + 100000 y = 7000000 \n" ); document.write( "Add the two equations \n" ); document.write( "50000 x= 2000000 \n" ); document.write( "/ 50000 \n" ); document.write( "x = 40 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 50 \n" ); document.write( "40 + 1 y = 50 \n" ); document.write( " 1 y = 50 -40 \n" ); document.write( " 1 y = 10 \n" ); document.write( " y = 10 \n" ); document.write( "Plan I 40 Numbers \n" ); document.write( "Plan II 10 Numbers \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |