document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157584>Question 1157584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A beverage manufacturer aims to mix up an 840 gallons batch of a tomato juice blend that contains 26% juice. The manufacturer will be combining a 6% blend and a 31% blend to achieve this. How much of each type should the manufacturer combine to get the desired tomato juice blend? </SPAN>\n" );
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document.write( "840 gallons batch of a tomato juice blend that contains 26% juice. The manufacturer will be combining a 6% blend and a 31% blend to achieve this. <BR>\n" );
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document.write( "26 is closer to 31 than it is to 6.  Most of the blend will be made with the 31% juice.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31-6=25 ALIGN=MIDDLE  ALT=\"31-6=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31-26=5 ALIGN=MIDDLE  ALT=\"31-26=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=840%2A%281%2F5%29=168 ALIGN=MIDDLE  ALT=\"840%2A%281%2F5%29=168\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------gallons of the 6% tomato juice\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=840%2A%284%2F5%29=672 ALIGN=MIDDLE  ALT=\"840%2A%284%2F5%29=672\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------gallons of the 31% juice\r<BR>\n" );
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document.write( "More generally, to make  M amount of some concentration T percent mixture, starting from H % high concentration and L % low concentration, <BR>\n" );
document.write( "let v be the amount of the H% material, and then M-v is amount of the L% material.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Hv%2BLM-Lv=MT ALIGN=MIDDLE  ALT=\"Hv%2BLM-Lv=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Hv-Lv%2BLM=MT ALIGN=MIDDLE  ALT=\"Hv-Lv%2BLM=MT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H-L%29v=MT-LM ALIGN=MIDDLE  ALT=\"%28H-L%29v=MT-LM\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H-L%29v=M%28T-L%29 ALIGN=MIDDLE  ALT=\"%28H-L%29v=M%28T-L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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