document.write( "Question 197923: There are 220 barrels of cement in one shed and 510 barrels in another. How many barrels must be transferred from the second to the first shed will contain two thirds as much as the second? I need help setting up the equation...plez. thank you \n" ); document.write( "

Algebra.Com's Answer #148409 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ = barrels of cement to be transferred from 2nd to 1st shed
\n" ); document.write( "After transferring:
\n" ); document.write( "In shed 1 is $\"220+%2B+x\"$
\n" ); document.write( "In shed 2 is $\"510+-+x\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"220+%2B+x+=+%282%2F3%29%2A%28510+-+x%29\"$
\n" ); document.write( "Multiply both sides by $\"3\"$
\n" ); document.write( " $\"660+%2B+3x+=+2%2A%28510+-+x%29\"$
\n" ); document.write( " $\"660+%2B+3x+=+1020+-+2x\"$
\n" ); document.write( " $\"5x+=+1020+-+660\"$
\n" ); document.write( " $\"5x+=+360\"$
\n" ); document.write( " $\"x+=+72\"$
\n" ); document.write( "72 barrels of cement must be transferred from 2nd to 1st shed
\n" ); document.write( "check:
\n" ); document.write( " $\"220+%2B+x+=+%282%2F3%29%2A%28510+-+x%29\"$
\n" ); document.write( " $\"220+%2B+72+=+%282%2F3%29%2A%28510+-+72%29\"$
\n" ); document.write( " $\"292+=+%282%2F3%29%2A438\"$
\n" ); document.write( "Multiply both sides by $\"3\"$
\n" ); document.write( " $\"876+=+2%2A438\"$
\n" ); document.write( " $\"876+=+876\"$
\n" ); document.write( "OK \n" ); document.write( "

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