document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949323>Question 949323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The price of a screw is lowered by 1c.Before the reduction you could buy screws with 80c and get no change . Now you get one screw more and 3c change. Calculate the orignal price of one screw.\r<BR>\n" );
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document.write( "My solution: <BR>\n" );
document.write( "Let x=price of each screw and Y= price of screws\r<BR>\n" );
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document.write( "Scenario 1. (X-1)<BR>\n" );
document.write( "Scenario 2. ( Yx=80)<BR>\n" );
document.write( "Scenario 3. (Y(x+1)=80-77) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579578 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The price of a screw is lowered by 1c.Before the reduction you could buy screws with 80c and get no change .<BR>\n" );
document.write( " Now you get one screw more and 3c change.<BR>\n" );
document.write( " Calculate the original price of one screw. <BR>\n" );
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document.write( "I think we can do this with one variable<BR>\n" );
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document.write( "let x = the price of one screw originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-1) = lowered price of a screw<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fx%29 ALIGN=MIDDLE  ALT=\"80%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = original number of screws<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=77%2F%28%28x-1%29%29 ALIGN=MIDDLE  ALT=\"77%2F%28%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fx ALIGN=MIDDLE  ALT=\"80%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<BR>\n" );
document.write( "multiply equation by x(x-1), resulting in<BR>\n" );
document.write( "77x = 80(x-1) + x(x-1)<BR>\n" );
document.write( "77x = 80x - 80 + x^2 - x<BR>\n" );
document.write( "0 = x^2 - x + 80x - 77x - 80<BR>\n" );
document.write( "x^2 + 2x - 80 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x+10)(x-8) = 0<BR>\n" );
document.write( "the positive solution all we want here<BR>\n" );
document.write( "x = 8 cents for each screw originally<BR>\n" );
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document.write( "See of that checks out<BR>\n" );
document.write( "Original number of screws: 80/8 = 10 each<BR>\n" );
document.write( "Lower price by one cent; number of screws: 77/7 = 11 each  </SPAN>\n" );
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