document.write( "Question 543533: susan wants to mix 10 pounds of virginia peanuts that costs $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. how many pounds of spanish peanuts should she use? \n" ); document.write( "

Algebra.Com's Answer #354843 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = pounds of Spanish peanuts needed
\n" ); document.write( "In words:
\n" ); document.write( "( total cost of mixture ) / ( total pounds of mixture ) = $3.40
\n" ); document.write( "given:
\n" ); document.write( " $\"+10+%2B+x+\"$ = total pounds of mixture
\n" ); document.write( " $\"+10%2A3.5+=+35+\"$ = cost of Virginia peanuts used
\n" ); document.write( " $\"+3x+\"$ = cost of Spanish peanuts used
\n" ); document.write( "--------------
\n" ); document.write( " $\"+%28+35+%2B+3x+%29+%2F+%28+10+%2B+x+%29+=+3.4+\"$
\n" ); document.write( " $\"+35+%2B+3x+=+3.4%2A%28+10+%2B+x+%29+\"$
\n" ); document.write( " $\"+35+%2B+3x+=+34+%2B+3.4x+\"$
\n" ); document.write( " $\"+.4x+=+1+\"$
\n" ); document.write( " $\"+x+=+2.5+\"$
\n" ); document.write( "She needs 2.5 pounds of Spanish peanuts
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+35+%2B+3x+%29+%2F+%28+10+%2B+x+%29+=+3.4+\"$
\n" ); document.write( " $\"+%28+35+%2B+3%2A2.5+%29+%2F+%28+10+%2B+2.5+%29+=+3.4+\"$
\n" ); document.write( " $\"+42.5+%2F+12.5+=+3.4+\"$
\n" ); document.write( " $\"+42.5+=+42.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );