document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120516>Question 1120516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two identical jars are filled with mixtures of water and vinegar in the ration of 2 to 1 and 3 to 1 respectively. If both jars are emptied into another container, find the ratio of water to vinegar in the resulting mixture.  </SPAN>\n" );
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document.write( "Change the ratios to fractions to find the fraction of the combined mixture that is water; then convert that fraction to the ratio the problem asks for.<br><BR>\n" );
document.write( "Let x be the volume of each jar.  Then the total volume of the mixture is 2x.<br><BR>\n" );
document.write( "In one jar the amount of water is (2/3)x (ratio 2:1); in the other it is (3/4)x (ratio 3:1).  So the total amount of water in the mixture is<BR>\n" );
document.write( "(2/3)x + (3/4)x = (17/12)x<br><BR>\n" );
document.write( "Then the fraction of the mixture that is water is<BR>\n" );
document.write( "((17/12)x)/(2x) = 17/24<br><BR>\n" );
document.write( "So the ratio of water to vinegar in the mixture is 17:7. </SPAN>\n" );
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