document.write( "Question 467601: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then solve. \n" ); document.write( "

Algebra.Com's Answer #320855 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I can give you formulas and solutions to construct
\n" ); document.write( "table with.
\n" ); document.write( "In words:
\n" ); document.write( "( liters of butterfat you end up with ) / ( total liters of whole milk ) = 2%
\n" ); document.write( "Let $\"+x+\"$ = liters of 1% milk that must be added
\n" ); document.write( "given:
\n" ); document.write( " $\"+.01x+\"$ = liters of butterfat in 1% milk
\n" ); document.write( " $\"+.04%2A12+=+.48+\"$ = liters of butterfat in 4% milk
\n" ); document.write( "----------
\n" ); document.write( " $\"+%28+.48+%2B+.01x+%29+%2F+%28+12+%2B+x+%29+=+.02+\"$
\n" ); document.write( "Multiply both sides by $\"+12+%2B+x+\"$
\n" ); document.write( " $\"+.48+%2B+.01x+=+.02%2A%2812+%2B+x+%29+\"$
\n" ); document.write( " $\"+.48+%2B+.01x+=+.24+%2B+.02x+\"$
\n" ); document.write( " $\"+.01x+=+.48+-+.24+\"$
\n" ); document.write( " $\"+.01x+=+.24+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( "24 liters of 1% milk must be added
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+.48+%2B+.01x+%29+%2F+%28+12+%2B+x+%29+=+.02+\"$
\n" ); document.write( " $\"+%28+.48+%2B+.01%2A24+%29+%2F+%28+12+%2B+24+%29+=+.02+\"$
\n" ); document.write( " $\"+%28+.48+%2B+.24+%29+%2F+36+=+.02+\"$
\n" ); document.write( " $\"+.72+=+.02%2A36+\"$
\n" ); document.write( " $\"+.72+=+.72+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );