document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255188>Question 255188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you mix fruit juice and bubbly water in a ratio of 3 to 5 to make a punch then how many liters of juice and how many liters of bubbly water will you need to make 24 liters.  Please explain with a strip diagram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187540 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=187540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f = number of liters of fruit juice.<BR>\n" );
document.write( "b = nume of liters of bubbly water.\r<BR>\n" );
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document.write( "ratio f/b = 3/5\r<BR>\n" );
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document.write( "total liters = 24.\r<BR>\n" );
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document.write( "your equation is f + b = 24.\r<BR>\n" );
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document.write( "since f/b = 3/5, thie means that:\r<BR>\n" );
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document.write( "f = 3b/5\r<BR>\n" );
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document.write( "equation of f + b = 24 becomes:\r<BR>\n" );
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document.write( "3b/5 + b = 24\r<BR>\n" );
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document.write( "multiply both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "3b + 5b = 120 which becomes:\r<BR>\n" );
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document.write( "8b = 120 which becomes:\r<BR>\n" );
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document.write( "b = 120/8 = 15.\r<BR>\n" );
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document.write( "since f + b = 24, this means that f = 24-15 = 9.\r<BR>\n" );
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document.write( "you have f = 9 and b = 15\r<BR>\n" );
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document.write( "f + b = 9 + 15 = 24\r<BR>\n" );
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document.write( "f/b = 9/15 = 3/5\r<BR>\n" );
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document.write( "ratio holds and the sum is correct.\r<BR>\n" );
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document.write( "if you used a strip diagram, you might do the following:\r<BR>\n" );
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document.write( "let 1 strip represent 3 liters of fruit juice.<BR>\n" );
document.write( "this strip would be divided into 3 equal sections.\r<BR>\n" );
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document.write( "let another strip represent 5 liters of bubbly water.<BR>\n" );
document.write( "this strip would be divided into 5 equal sections.\r<BR>\n" );
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document.write( "each section would represent 1 liter.\r<BR>\n" );
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document.write( "first strip would look like fff<BR>\n" );
document.write( "second strip would look like bbbbb\r<BR>\n" );
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document.write( "since the ratio has to remain constant, then combine these strips into one long strip that is composed of 3 sections of f and 5 sections of b.\r<BR>\n" );
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document.write( "that would look like:\r<BR>\n" );
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document.write( "fffbbbbb = 8 liters.\r<BR>\n" );
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document.write( "since you want 24 liters, how many times does this strip divide into 24.\r<BR>\n" );
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document.write( "answer is 3.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "fffbbbbb + fffbbbbb + fffbbbbb = 24 liters.\r<BR>\n" );
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document.write( "add up the f's and you get 9.<BR>\n" );
document.write( "add up the b's and you get 15.\r<BR>\n" );
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document.write( "you have 9 liters of fruite juice and 15 liters of bubbly water to make a total of 24 liters of mixture.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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