document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174114>Question 1174114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,500 shrimp in 4 hours. When his sister helps him, they can stuff 1,500 shrimp in 3 hours. If Kevin gets sick, how long will it take his sister to stuff 750 shrimp? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799497 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rt=q<BR>\n" );
document.write( "r = rate<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "q = quantity\r<BR>\n" );
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document.write( "kevin stuffs 1500 shrimp in 4 hours.<BR>\n" );
document.write( "his equation becomes r * 4 = 1500<BR>\n" );
document.write( "solve for r to get:<BR>\n" );
document.write( "r = 1500/4 = 375<BR>\n" );
document.write( "that means he stuffs shrimp at a rate of 375 per hour.\r<BR>\n" );
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document.write( "when his sister helps him, they can stuff 1500 shrimp in 3 hours.<BR>\n" );
document.write( "when they work together, their rates are additive.<BR>\n" );
document.write( "let r = her rate.<BR>\n" );
document.write( "their combined rate is r + 375<BR>\n" );
document.write( "r is her rate, 375 is his rate.<BR>\n" );
document.write( "formula becomes:<BR>\n" );
document.write( "(r + 375) * 3 = 1500<BR>\n" );
document.write( "solve for r + 375 to get:<BR>\n" );
document.write( "r + 375 = 500<BR>\n" );
document.write( "solve for r to get:<BR>\n" );
document.write( "r = 500 - 375 = 125<BR>\n" );
document.write( "her rate is 125 stuffed shrimp per hour.\r<BR>\n" );
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document.write( "confirm by replacing r with her rate to get:<BR>\n" );
document.write( "(125 + 375) * 3 = 1500<BR>\n" );
document.write( "combine like terms and simplify to get:<BR>\n" );
document.write( "500 * 3 = 1500 becomes 1500 = 1500<BR>\n" );
document.write( "this confirms the values are correct.\r<BR>\n" );
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document.write( "at 125 shrimps per hour, it would take his sister 750 / 125 = 6 hours to stuff 750 shrimp by herself.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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