document.write( "Question 712387: Nadine paid $4800 to buy a certain number of t-shirts for the math club members. Eight shirts were slightly damaged, so the store owner gave her 8 extra shirts effectively decreasing the cost per item by $20. How many shirts (including the 8 extra) did she buy?\r
\n" ); document.write( "\n" ); document.write( "I will appreciate if the step by step solution is posted.\r
\n" ); document.write( "\n" ); document.write( "Thank you,\r
\n" ); document.write( "\n" ); document.write( "Ariel Halili
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Algebra.Com's Answer #437894 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+n+\" = the number of shirts she bought
\n" ); document.write( "The cost per item is \"+4800%2Fn+\"
\n" ); document.write( "---------------
\n" ); document.write( "The owner gave her \"+8+\" shirts, so then
\n" ); document.write( "she had \"+n+%2B+8+\" shirts
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\n" ); document.write( "\"+4800+%2F+%28+n%2B8+%29+=+4800%2Fn+-+20+\"
\n" ); document.write( "This says:
\n" ); document.write( "( cost/shirt with 8 shirts added ) = ( $20 less than original cost/shirt )
\n" ); document.write( "Multiply both sides by \"+n%2A%28+n%2B8+%29+\"
\n" ); document.write( "\"+4800n+=+4800%2A%28+n%2B8+%29+-+20n%2A%28+n+%2B+8+%29+\"
\n" ); document.write( "\"+4800n+=+4800n+%2B+38400+-+20n%5E2+-+160n+\"
\n" ); document.write( "\"+-20n%5E2+-+160n+%2B+38400+=+0+\"
\n" ); document.write( "Divide both sides by \"+20+\"
\n" ); document.write( "\"+-n%5E2+-+8n+%2B+1920+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+n+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-1+\"
\n" ); document.write( "\"+b+=+-8+\"
\n" ); document.write( "\"+c+=+1920+\"
\n" ); document.write( "
\n" ); document.write( "\"+n+=+%28+8+%2B-+sqrt%28+64+%2B+7680+%29%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+n+=+%28+8+%2B-+sqrt%28+7744+%29%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+n+=+%28+8+%2B+88+%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+n+=+96%2F%28-2%29+\"
\n" ); document.write( "\"+n+=+-48+\" ( discard this result- can't be negative )
\n" ); document.write( "\"+n+=+%28+8+-+88+%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+n+=+%28+-80+%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+n+=+40+\"
\n" ); document.write( "She bought 40 + 8 = 48 shirts
\n" ); document.write( "check:
\n" ); document.write( "\"+4800+%2F+%28+n%2B8+%29+=+4800%2Fn+-+20+\"
\n" ); document.write( "\"+4800+%2F+%28+40%2B8+%29+=+4800%2F40+-+20+\"
\n" ); document.write( "\"+4800+%2F+48+=+4800+%2F+40+-+20+\"
\n" ); document.write( "\"+100+=+120+-+20+\"
\n" ); document.write( "\"+100+=+100+\"
\n" ); document.write( "OK
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