document.write( "Question 621264: Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How many shares did he buy?\r
\n" ); document.write( "\n" ); document.write( "40, 50, or 60?
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Algebra.Com's Answer #390658 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+p+\" = the price/share before the price dropped
\n" ); document.write( "Let \"+n+\" = the number of shares he actually bought
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+2000+=+n%2Ap+\"
\n" ); document.write( "(2) \"+2000+=+%28+n+%2B+10+%29%2A%28+p+-+10+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+p+=+2000%2Fn+\"
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) \"+2000+=+%28+n+%2B+10+%29%2A%28+2000%2Fn+-+10+%29+\"
\n" ); document.write( "(2) \"+2000+=+2000+%2B+20000%2Fn+-+10n+-+100+\"
\n" ); document.write( "(2) \"+20000%2Fn+=+10n+%2B+100+\"
\n" ); document.write( "Multiply both sides by \"+n+\"
\n" ); document.write( "(2) \"+20000+=+10n%5E2+%2B+100n+\"
\n" ); document.write( "(2) \"+10n%5E2+%2B+100n+-+20000+=+0+\"
\n" ); document.write( "(2) \"+n%5E2+%2B+10n+-+2000+=+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+=+10+\"
\n" ); document.write( "\"+c+=+-2000+\"
\n" ); document.write( "\"+n+=+%28+-10+%2B-+sqrt%28+10%5E2+-+4%2A1%2A%28-2000%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+n+=+%28+-10+%2B-+sqrt%28+100+%2B+8000+%29%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+-10+%2B-+sqrt%28+8100+%29%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+-10+%2B+90%29+%2F+2+\" ( can't use the negative square root )
\n" ); document.write( "\"+n+=+80%2F2+\"
\n" ); document.write( "\"+n+=+40+\"
\n" ); document.write( "He bought 40 shares
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+2000+=+40p+\"
\n" ); document.write( "(1) \"+p+=+50+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2000+=+%28+40+%2B+10+%29%2A%28+p+-+10+%29+\"
\n" ); document.write( "(2) \"+2000+=+50p+-+500+\"
\n" ); document.write( "(2) \"+50p+=+2500+\"
\n" ); document.write( "(2) \"+p+=+50+\"
\n" ); document.write( "OK
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