document.write( "Question 396576: planters mixed nuts are up to 50% peanuts by weight. emerald is at most 40%. how many pounds of peanuts would each factory add to 1000 lbs. of other nuts? \n" ); document.write( "

Algebra.Com's Answer #281284 by josmiceli(19441) $\"\"$ $\"About$

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Planters wants the ratio of peanuts/other nuts = 1/1
\n" ); document.write( "To 1000 pounds of other nuts, it adds 1000 pounds of peanuts
\n" ); document.write( "---------
\n" ); document.write( "Emerald wants 40% peanuts or 2/5 =(peanuts)/(peanuts + other nuts)
\n" ); document.write( "Let $\"x\"$ = pounds of peanuts to add
\n" ); document.write( " $\"2%2F5+=+x%2F%28x+%2B+1000%29\"$
\n" ); document.write( "Multiply both sides by $\"5%2A%28x+%2B+1000%29\"$
\n" ); document.write( " $\"2%2A%28x+%2B+1000%29+=+5x\"$
\n" ); document.write( " $\"2x+%2B+2000+=+5x\"$
\n" ); document.write( " $\"3x+=+2000\"$
\n" ); document.write( " $\"x+=+666.67\"$ pounds
\n" ); document.write( "check answer:
\n" ); document.write( "40% = $\"666.67+%2F+1666.67\"$
\n" ); document.write( "40% = 40%
\n" ); document.write( "OK \n" ); document.write( "

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