document.write( "Question 1054911: James bought some apples for $294. Then 16 of the apples are rotten. He sold all the other good apples at 40% increase in the cost price and made a profit of $84. How many apples did he buy? \n" ); document.write( "
Algebra.Com's Answer #670108 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+n+\" = the number of apples he bought
\n" ); document.write( "\"+n+-+16+\" = the number of apples he sold
\n" ); document.write( "\"+294%2Fn+\" = the original cost/apple
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "The profit was $84, so he sold \"+n+-+16+\"
\n" ); document.write( "apples for \"+294+%2B+84+=+378+\"
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "\"+378%2F%28+n-16+%29+\" = the cost/apple for the ones he sold
\n" ); document.write( "--------------------------------------------------
\n" ); document.write( "Each apple is sold for 40% more than it cost
\n" ); document.write( "\"+378%2F%28+n-16+%29+=+1.4%2A%28+294%2Fn+%29+\"
\n" ); document.write( "Multiply both sides by \"+n%2A%28+n-16+%29+\"
\n" ); document.write( "\"+378n+=+1.4%2A294%2A%28+n-16+%29+\"
\n" ); document.write( "\"+378n+=+411.6%2A%28+n+-+16+%29+\"
\n" ); document.write( "\"+378n+=+411.6n+-+6585.6+\"
\n" ); document.write( "\"+33.6n+=+6585.6+\"
\n" ); document.write( "\"+n+=+196+\"
\n" ); document.write( "---------------
\n" ); document.write( "He bought 196 apples
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+294%2F196+=+1.5+\"
\n" ); document.write( "$1.50 is the original cost/apple
\n" ); document.write( "--------------------------------
\n" ); document.write( "A 40% increase in cost is: \"+1.4%2A1.5+=+2.1+\"
\n" ); document.write( "He sold \"+196+-+16+=+180+\" apples
\n" ); document.write( "for $2.10 each
\n" ); document.write( "\"+180%2A2.1+=+378+\" $378
\n" ); document.write( "--------------------------
\n" ); document.write( "His profit was:
\n" ); document.write( "\"+378+-+294+=+84+\" $84
\n" ); document.write( "---------------------------
\n" ); document.write( "Looks OK, you might want a 2nd opinion, too
\n" ); document.write( "& check my math\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );