document.write( "Question 412152: Find how many quarts of 6% butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 5% butterfat milk \n" ); document.write( "

Algebra.Com's Answer #289556 by emargo19(101) $\"\"$ $\"About$

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Let x= number of quarts of 6% buttermilk
\n" ); document.write( "y= number of quarts of 3% buttermilk
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\n" ); document.write( "EQ 1
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\n" ); document.write( " $\"x%2By=45\"$
\n" ); document.write( "Multiply 0.03 by EQ (1)
\n" ); document.write( "---------
\n" ); document.write( " $\"0.03%2Ax%2B0.03%2Ay=45%280.03%29\"$
\n" ); document.write( " $\"0.03x%2B0.03y=1.35\"$ \r
\n" ); document.write( "\n" ); document.write( "__________
\n" ); document.write( "EQ 2
\n" ); document.write( "----------
\n" ); document.write( " $\"0.06x%2B0.03y=0.05%2845%29\"$ ----(Simplfy this EQ 2)
\n" ); document.write( " $\"0.06x%2B0.03y=2.25\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore
\n" ); document.write( " $\"0.03x%2B0.03y=1.35\"$ (Eq 1)
\n" ); document.write( " $\"0.06x%2B0.03y=2.25\"$ (Eq 2)
\n" ); document.write( "Subtract (Eq 1) from (Eq 2)
\n" ); document.write( " $\"++++0.03y=0.90\"$
\n" ); document.write( " $\"+++++y=+30\"$
\n" ); document.write( " $\"x%2B30=45\"$
\n" ); document.write( " $\"x=15\"$ \r
\n" ); document.write( "\n" ); document.write( "15 quarts of 6% buttermilk are mixed with 15 quarts of 3% buttermilk.\r
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