document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37132>Question 37132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not know what formula to use to solve problems of this nature.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the problem: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? \r<BR>\n" );
document.write( "\n" );
document.write( "Can you help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728308 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=728308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You have three responses so far to your question, all with different methods for solving the problem.  Here is another method that many students find easier....<br><BR>\n" );
document.write( "Find the least common multiple of the numbers of minutes each worker takes to mix the 20 drinks; then find the number of drinks the three of them could mix in that amount of time; then find how long it would take them together to make the 20 drinks.<br><BR>\n" );
document.write( "The times for the three workers are 5, 10, and 15 minutes; the least common multiple is 30 minutes.<BR>\n" );
document.write( "In 30 minutes, Steven could mix 120 drinks, Sue could mix 60, and Jack could mix 40.<BR>\n" );
document.write( "Together in 30 minutes the three of them could mix 120+60+40=220 drinks.<BR>\n" );
document.write( "So the time it would take the three of them to mix 20 = 220/11 drinks is 30/11 minutes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );