document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785147>Question 785147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One jar contains 5/6 alcohol and another 8/9 alcohol. How many liters taken from each jar are required to fill a third jar with a capacity of 24 liters so that the mixture will be 7/8 alcohol? </SPAN>\n" );
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document.write( "Here is another method:\r<BR>\n" );
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document.write( "Let x = litres of alcohol taken from first jar. <BR>\n" );
document.write( "Let y = litres of alcohol taken from second jar.\r<BR>\n" );
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document.write( "We will need two equations to get value of x and y.\r<BR>\n" );
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document.write( "So first equation is our quantity constraint, i.e., we just need total 24 litres.\r<BR>\n" );
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document.write( "x + y = 24\r<BR>\n" );
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document.write( "Next equation comes from final composition of alcohol.\r<BR>\n" );
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document.write( "5x/6 + 8y/9 = 7*24/8\r<BR>\n" );
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document.write( "Solving these two, you get <BR>\n" );
document.write( "x=6 <BR>\n" );
document.write( "y=18\r<BR>\n" );
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document.write( "Hope it helps:) </SPAN>\n" );
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