document.write( "Question 233514: I have a story problem\r
\n" ); document.write( "\n" ); document.write( "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 eliminates the situation, using x an y as your variables.\r
\n" ); document.write( "\n" ); document.write( "Then uses elimination method to determine how many houses with each floor plan are available.\r
\n" ); document.write( "\n" ); document.write( "Thank you for your immediate response
\n" ); document.write( "

Algebra.Com's Answer #172351 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I have a story problem
\n" ); document.write( "The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000.
\n" ); document.write( "----------------------------------
\n" ); document.write( "She also mentions that all the available houses combined are worth $7,200,000.
\n" ); document.write( "----------------------------------
\n" ); document.write( "Write an equation that eliminates the situation, using x an y as your variables. Then use elimination method to determine how many houses with each floor plan are available.
\n" ); document.write( "----
\n" ); document.write( "Let x be the # of 175000 homes
\n" ); document.write( "Let y be the # of 200000 homes
\n" ); document.write( "------------
\n" ); document.write( "Quantity Equation: x + y = 38
\n" ); document.write( "Value: 175000x + 200000y = 7,200,000
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Muliply thru the Quantity equation by 175000 to get:
\n" ); document.write( "175000x + 175000y = 38(175000)
\n" ); document.write( "-------------------------------
\n" ); document.write( "Subtract that from the Value equation and solve for \"y\":
\n" ); document.write( "25000y = 550000
\n" ); document.write( "y = 22 (# of $200,000 homes available)
\n" ); document.write( "----
\n" ); document.write( "Since x + y = 38, x = 38-22 = 16 (# of #175,000 homes available)
\n" ); document.write( "===========================
\n" ); document.write( "Comment: You have to post the total number of houses or
\n" ); document.write( "some other information relating the two floorplan
\n" ); document.write( "quantities.
\n" ); document.write( "==================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );