document.write( "Question 198283: Please help me. I am trying to solve this problem. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sales representative tells you they 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. 175,000x+200,000y=7,200,000\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.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #148731 by arallie(162)\"\" \"About 
You can put this solution on YOUR website!
Your first part was almost right.
\n" ); document.write( "\"x%2By%2B38\"--->\"x%2By=38\"
\n" ); document.write( "All houses (x) and houses (y) make 38 houses.
\n" ); document.write( "Second part was perfect
\n" ); document.write( "\"175%2C000x%2B200%2C000y=7%2C200%2C000\"
\n" ); document.write( "But lets get rid of the huge parts
\n" ); document.write( "\"175x%2B200y=7200\"\r
\n" ); document.write( "\n" ); document.write( "Solve.
\n" ); document.write( "Substitution
\n" ); document.write( "\"x%2By=38\"--->\"x=38-y\"
\n" ); document.write( "\"175%2838-y%29%2B200y=7200\"
\n" ); document.write( "\"6650-175y%2B200y=7200\"
\n" ); document.write( "\"25y=550\"
\n" ); document.write( "\"y=22\"
\n" ); document.write( "Resubstitute
\n" ); document.write( "\"175x%2B200%2822%29=7200\"
\n" ); document.write( "\"175x%2B4400=7200\"
\n" ); document.write( "\"175x=2800\"
\n" ); document.write( "\"x=16\"
\n" ); document.write( "Check
\n" ); document.write( "\"22%2B16=38\"
\n" ); document.write( "\"38=38\"
\n" ); document.write( "Done
\n" ); document.write( "
\n" ); document.write( "
\n" );