document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452272>Question 452272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist can ride from A to B and back in a certain time at an average rate of 10 km an hour. If he were to ride from A to B at 9km an hour, vand return at 12km an hour, he would save 15 minutes on the double journey. Find the distance from a to B.\r<BR>\n" );
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document.write( "A man buys apples at $6 a dozen, and twice as many at $9 a score; he sells them at $9 a dozen, and make a profit of $102. How many apples does he buy?\r<BR>\n" );
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document.write( "A man bought a number of eggs at four for $1, and four times as many at five for $1.50; he sells them at a penny each, and make a profit of $44. How many eggs does he buy?\r<BR>\n" );
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document.write( "I want the equation of these question(no solution is OK), please~~ in hurry </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310935 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=310935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cyclist can ride from A to B and back in a certain time at an average rate of 10 km an hour.<BR>\n" );
document.write( " If he were to ride from A to B at 9km an hour, and return at 12km an hour, he would save 15 minutes on the double journey.<BR>\n" );
document.write( " Find the distance from a to B.<BR>\n" );
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document.write( "Change 15 min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "Let d = dist from A to B<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2d = round trip dist<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F10 ALIGN=MIDDLE  ALT=\"%282d%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = original time for round trip<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9 ALIGN=MIDDLE  ALT=\"d%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F12 ALIGN=MIDDLE  ALT=\"d%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his \"If\" time for the round trip<BR>\n" );
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document.write( "\"If\" time + 15 min = original time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9 ALIGN=MIDDLE  ALT=\"d%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F12 ALIGN=MIDDLE  ALT=\"d%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F10 ALIGN=MIDDLE  ALT=\"%282d%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 180 to clear the denominators, solve for d<BR>\n" );
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document.write( "A man buys apples at $6 a dozen, and twice as many at $9 a score; he sells them at $9 a dozen, and make a profit of $102.<BR>\n" );
document.write( " How many apples does he buy?<BR>\n" );
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document.write( "Let x = no. of apples bought at $6/12 or .50 ea<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(2x) = no. of apples bought at $9/20 or .45 ea<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( ".50x + .45(2x) = 1.4x total cost of apples<BR>\n" );
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document.write( "3x = no. of apples sold at $9/12 or .75 ea<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "3x(.75) = $2.25x, total revenue from the apples<BR>\n" );
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document.write( "Rev - cost = profit<BR>\n" );
document.write( "2.25x - 1.4x = $102<BR>\n" );
document.write( "solve for x, remember he bought a total of 3x apples<BR>\n" );
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document.write( "A man bought a number of eggs at four for $1, and four times as many at five for $1.50; he sells them at a penny each, and make a profit of $44.<BR>\n" );
document.write( " How many eggs does he buy?<BR>\n" );
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document.write( "This does not make sense<BR>\n" );
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document.write( "You are buying at .25 ea and selling for .01 ea, will not make a profit<BR>\n" );
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document.write( "You have to clarify this<BR>\n" );
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