document.write( "Question 5951: How many cu m of butterfat must be removed from 500 cu m of milk containing 10% butterfat to reduce its content to 4% butterfat? \n" ); document.write( "
Algebra.Com's Answer #3143 by jainenderkapoor(61)\"\" \"About 
You can put this solution on YOUR website!
It is a very good question\r
\n" ); document.write( "\n" ); document.write( "Let us start with it.\r
\n" ); document.write( "\n" ); document.write( "How much milk we are having -- ? 500 cu m
\n" ); document.write( "And the percentage of butterfat is 10%
\n" ); document.write( "i:e butterfat = (10/100)*500 = 50\r
\n" ); document.write( "\n" ); document.write( "Now we want to remove some amount of butterfat so that the percentage of butterfat in the remaining liquid is 4%\r
\n" ); document.write( "\n" ); document.write( "NOW if we remove butterfat = x cu m then the same quantity will be removed from the milk -- IS IT CLEAR\r
\n" ); document.write( "\n" ); document.write( "So we have remaining quantity of buttefat = (50 - x)
\n" ); document.write( "and the remaining quantity of milk = (500 - x)\r
\n" ); document.write( "\n" ); document.write( "Is it clear\r
\n" ); document.write( "\n" ); document.write( "Now we can write the equation --\r
\n" ); document.write( "\n" ); document.write( "(50 - x) = 4% of (500 - x)
\n" ); document.write( "(50 - x) = 4/100 * (500 - x)
\n" ); document.write( "(50 - x) = 1/25 * (500 - x)
\n" ); document.write( "25*(50 - x) = (500 - x)
\n" ); document.write( "25*50 - 25x = 500 - x
\n" ); document.write( "1250 - 25x = 500 -x
\n" ); document.write( "1250 - 500 = -x + 25x
\n" ); document.write( "750 = 24 x
\n" ); document.write( "24 x = 750
\n" ); document.write( " x = 750/24 = 31.25\r
\n" ); document.write( "\n" ); document.write( "SO 31.25 cu m of butterfat is to be removed so that the content is 4% of the remaining liquid.\r
\n" ); document.write( "\n" ); document.write( "HOPE it is clear to you. In case you have any other doubt you can contact me on kapoorjai1@rediffmail.com\r
\n" ); document.write( "\n" ); document.write( "I am available for Online Tutoring Also.\r
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