document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895890>Question 895890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first worker can make 5 chairs in 3 hours.\r<BR>\n" );
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document.write( "The second worker can make 7 chairs in 4 hours.\r<BR>\n" );
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document.write( "How long will it take the two workers to manufacture 10 chairs? Don't forget to show units. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543105 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=543105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Letx=amount of time needed for the two workers to make 10 chairs<BR>\n" );
document.write( "The first worker works at the rate of 5/3=1.67 chairs per hour<BR>\n" );
document.write( "The second worker works at the rate of 7/4=1.75 chairs per hour<BR>\n" );
document.write( "Together they work at the rate of (5/3) + (7/4)=(20/12)+(21/12)=(41/12)=3.42 chairs per hour.  So, our equation to solve is:<BR>\n" );
document.write( "3.42x=10  <BR>\n" );
document.write( "x=2.92 hours time needed for the two workers to make 10 chairs working together\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "In 2.92 hours, the first worker makes (1.67)(2.92)=4.88 chairs<BR>\n" );
document.write( "In 2.92 hours, the second worker makes (1.75)(2.92)=5.11 chairs<BR>\n" );
document.write( "Together they make 4.88+5.11=9.99 chairs<BR>\n" );
document.write( "Instead of 10, we got 9.99 and this is caused by round-off errors.<BR>\n" );
document.write( "If we work it out in fractions, we should get the exact answer.  Lets try it:\r<BR>\n" );
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document.write( "Together, they work at the rate of 41/12 chairs per hour\r<BR>\n" );
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document.write( "So our equation to solve is:<BR>\n" );
document.write( "(41/12)x=10  multiply each side by 12<BR>\n" );
document.write( "41x=`120<BR>\n" );
document.write( "x=120/41 hours\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "In 120/41 hours, the first worker makes (5/3)(120/41)=200/41 chairs<BR>\n" );
document.write( "In 120/41 hours, the second worker makes (7/4)(120/41)=210/41 chairs\r<BR>\n" );
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document.write( "200/41 +210/41=410/41=10 chairs YEA!!!!\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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