document.write( "Question 329189: A chef has containers of heavy cream that are 40% butterfat and light cream that are 20% butterfat. How much heavy cream must be added to a 1000 ml container of light cream to produce a mixture that is 36% butterfat? Briefly explain your answer. \n" ); document.write( "

Algebra.Com's Answer #235890 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = ml of heavy cream that needs to b added
\n" ); document.write( "given:
\n" ); document.write( "Butterfat in heavy cream = $\".4x\"$ ml
\n" ); document.write( "Amount of 20% light cream = $\"1000\"$ ml
\n" ); document.write( "Butterfat in $\"1000\"$ ml of light cream= $\".2%2A1000+=+200\"$ ml
\n" ); document.write( "--------------------
\n" ); document.write( "In words:
\n" ); document.write( "(total ml of butterfat I end up with)/(total ml of mixture) = .36
\n" ); document.write( " $\"%28.4x+%2B+200%29%2F%28x+%2B+1000%29+=+.36\"$
\n" ); document.write( " $\".4x+%2B+200+=+.36%2A%28x+%2B+1000%29\"$
\n" ); document.write( " $\".4x+%2B+200+=+.36x+%2B+360\"$
\n" ); document.write( " $\".04x+=+360+-+200\"$
\n" ); document.write( " $\".04x+=+160\"$
\n" ); document.write( " $\"x+=+4000\"$
\n" ); document.write( "4000 ml or 4 liters of heavy cream must be added
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%28.4x+%2B+200%29%2F%28x+%2B+1000%29+=+.36\"$
\n" ); document.write( " $\"%28.4%2A4000+%2B+200%29%2F%284000+%2B+1000%29+=+.36\"$
\n" ); document.write( " $\"1600+%2B+200+=+.36%2A5000\"$
\n" ); document.write( " $\"1800+=+1800\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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