document.write( "Question 1031529: A used car salesman purchased a number of very old battered cars during the past month. He paid the same price, $89, for each. He has not yet sold all of the cars, but those that he has sold went for $225, a piece. He has already made a profit of $2,327 (total sale price minus outlay for all cars purchased). If his car lot has room for no more than 50 cars at one time, how many cars remain? \n" ); document.write( "

Algebra.Com's Answer #646227 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the number of cars he sold
\n" ); document.write( "Let $\"+y+\"$ = the number of cars remaining
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) $\"+89%2A%28+x+%2B+y+%29+\"$ = cost of all the cars he bought
\n" ); document.write( "(2) $\"+225x+-+89%2A%28+x+%2B+y+%29+=+2327+\"$ profit after selling $\"+x+\"$ cars
\n" ); document.write( "(3) $\"+x+%2B+y+%3C=+50+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+225x+-+89x+-+89y+=+2327+\"$
\n" ); document.write( "(2) $\"+136x+-+89y+=+2327+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "I think I got this by trial and error
\n" ); document.write( "First, I divided $\"+2327+%2F+136+=+17.1+\"$
\n" ); document.write( "so, $\"+x+\"$ must be at least $\"+17+\"$
\n" ); document.write( "Then I tried different value for $\"+x+\"$
\n" ); document.write( " $\"+x+=+23+\"$
\n" ); document.write( " $\"+23%2A136+=+3128+\"$
\n" ); document.write( " $\"+89y+=+3128+-+2327+\"$
\n" ); document.write( " $\"+89y+=+801+\"$
\n" ); document.write( " $\"+y+=+9+\"$
\n" ); document.write( "9 cars remain
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+x+%2B+y+=+23+%2B+9+\"$
\n" ); document.write( " $\"+x+%2B+y+=+32+\"$
\n" ); document.write( "(2) $\"+225x+-+89%2A%28+x+%2B+y+%29+=+2327+\"$
\n" ); document.write( "(2) $\"+225%2A23+-+89%2A32+=+2327+\"$
\n" ); document.write( "(2) $\"+5175+-+2848+=+2327+\"$
\n" ); document.write( "(2) $\"+2327+=+2327+\"$
\n" ); document.write( "OK
\n" ); document.write( "Maybe there is a systematic way to
\n" ); document.write( "get the answer -I don't know what it is.
\n" ); document.write( "Hope this helps \n" ); document.write( "

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