document.write( "Question 879352: Jane brought some muffins for $4. She ate three herself, and resold the rest at a profit of 20 cents per muffin. If Jane sold the muffins for a total of $3.50, how much did she charge for each muffin? \n" ); document.write( "
Algebra.Com's Answer #530698 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = the number of muffins she started with
\n" ); document.write( "\"+4%2Fn+\" = the cost per muffin
\n" ); document.write( "\"+%284%2Fn%29%2A3+=+12%2Fn+\" = the cost of 3 muffins
\n" ); document.write( "\"+n+-+3+\" = the number of muffins she resold
\n" ); document.write( "\"+%28+4+-+12%2Fn+%29%2F%28+n-3+%29+\" = the cost per muffin that she resold
\n" ); document.write( "\"+3.5+%2F+%28+n+-+3+%29+\" = her resale price per muffin
\n" ); document.write( "----------------------------------------
\n" ); document.write( "She resold \"+n-3+\" muffins at \"+.2+\" dollars profit per muffin
\n" ); document.write( "I can say:
\n" ); document.write( "\"+3.5+%2F+%28+n-3+%29+-+%28+4+-+12%2Fn+%29+%2F+%28+n-3+%29++=+.2+\"
\n" ); document.write( "\"+3.5+-+%28+4+-+12%2Fn+%29+=+.2%2A%28+n-3+%29+\"
\n" ); document.write( "\"+3.5+-+4+%2B+12%2Fn+=+.2n+-+.6+\"
\n" ); document.write( "\"+-.5+%2B+.6+=+.2n+-+12%2Fn+\"
\n" ); document.write( "\"+.1+=+.2n+-+12%2Fn+\"
\n" ); document.write( "\"+.1n+=+.2n%5E2+-+12+\"
\n" ); document.write( "\"+.2n%5E2+-+.1n+-+12+=+0+\"
\n" ); document.write( "\"+2n%5E2+-+n+-+120+=+0+\"
\n" ); document.write( "\"+n+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+n+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A2%2A%28-120%29+%29%29%2F%282%2A2%29+\"
\n" ); document.write( "\"+n+=+%28+1+%2B-+sqrt%28+1+%2B+960+%29%29%2F+4+\"
\n" ); document.write( "\"+n+=+%28+1+%2B-+sqrt%28+961+%29%29%2F+4+\"
\n" ); document.write( "\"+n+=+%28+1+%2B+31+%29+%2F+4+\"
\n" ); document.write( "\"+n+=+32%2F4+\"
\n" ); document.write( "\"+n+=+8+\"
\n" ); document.write( "-------------
\n" ); document.write( "she charged per muffin:
\n" ); document.write( "\"+3.5+%2F+%28+n+-+3+%29+\"
\n" ); document.write( "\"+3.5+%2F+%28+8+-+3+%29+=+3.5%2F5+\"
\n" ); document.write( "\"+3.5%2F5+=+.7+\"
\n" ); document.write( "70 cents per muffin
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+8+\" = the number of muffins she started with
\n" ); document.write( "\"+4%2F8+=+.5+\" = the cost per muffin
\n" ); document.write( "\"+%284%2F8%29%2A3+=+12%2F8+\" = the cost of 3 muffins
\n" ); document.write( "\"+8+-+3+=+5+\" = the number of muffins she resold
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "\"+%28+4+-+12%2F8+%29%2F%28+8-3+%29+\" = the cost per muffin that she resold
\n" ); document.write( "\"+2.5%2F5+=+.5+\" = the cost per muffin that she resold
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "\"+3.5+%2F+%28+8+-+3+%29+\" = her resale price per muffin
\n" ); document.write( "\"+3.5%2F5+=+.7+\" = her resale price per muffin
\n" ); document.write( "--------------
\n" ); document.write( "Hope I got it!\r
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