document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73401>Question 73401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kay can eat 32 candies in 1 hour. Her sister can eat the same amount in 3 hours. How long will it take them together to eat the 32 pieces of candy.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52573 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of time it takes for Kay and Sis to eat 32 pieces of candy\r<BR>\n" );
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document.write( "Now we know that:<BR>\n" );
document.write( "Kay eats candies at the rate of 32 candies per hour. <BR>\n" );
document.write( "Sis eats candies at the rate of 32/3 candies per hour. \r<BR>\n" );
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document.write( "Kay and Sis together can eat: 32+32/3 or (96+32)/3=128/3 candies per hour\r<BR>\n" );
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document.write( "Now we can set up a ratio:\r<BR>\n" );
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document.write( "128/3 candies is to 1 hour as 32 candies is to x hours and we can write this as follows:\r<BR>\n" );
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document.write( "(128/3)/1=32/x or\r<BR>\n" );
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document.write( "128/3=32/x  multiply both sides by 3x<BR>\n" );
document.write( "128x=96  divide both sides by 128\r<BR>\n" );
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document.write( "x=0.75 hr----------------------------------answer\r<BR>\n" );
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document.write( "Possibly an easier way to look at this problem is as follows:\r<BR>\n" );
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document.write( "If Kay and Sis can eat 128/3 candies per hour, then how many hours will it take them to eat 32 candies?  Here's the equation we need to solve:\r<BR>\n" );
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document.write( "(128/3)x=32  multiply both sides by 3<BR>\n" );
document.write( "128x=96<BR>\n" );
document.write( "x=0.75 hr\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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