document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196089>Question 1196089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A store clerk sold 60 pairs of sneakers. The high-tops sold for $98.99 and the low-tops sold for $129.99. If the receipts for the two types of sales totaled $6,404.40, how many of each type of sneaker were sold?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828798 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Whether formally using algebra or informally using logical reasoning, I would reduce the amount of effort required to solve the problem by adding a penny to the cost of each pair of sneakers, making 60 $99 high-tops and $130 low-tops for a total of $6,405.<br><BR>\n" );
document.write( "(1) Formal algebra....<br><BR>\n" );
document.write( "x = # of high-tops<BR>\n" );
document.write( "60-x=# of low-tops<br><BR>\n" );
document.write( "The total cost was $6405:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99%28x%29%2B130%2860-x%29=6405 ALIGN=MIDDLE  ALT=\"99%28x%29%2B130%2860-x%29=6405\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99x%2B7800-130x=6405 ALIGN=MIDDLE  ALT=\"99x%2B7800-130x=6405\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1395=31x ALIGN=MIDDLE  ALT=\"1395=31x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1395%2F31=45 ALIGN=MIDDLE  ALT=\"x=1395%2F31=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 45 high-top and 15 low-top pairs were sold<br><BR>\n" );
document.write( "(2) Informally....<br><BR>\n" );
document.write( "If all 60 pairs had been high-tops, the total sales would have been 60($99)=$5940.<BR>\n" );
document.write( "The actual sales total was $6405-$5940=$465 more.<BR>\n" );
document.write( "The difference in price between the high-top and low-top is $31; so the number of low-top pairs sold was $465/$31 = 15.<br><BR>\n" );
document.write( "ANSWER: 15 low-top pairs and 45 high-top pairs were sold.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );