document.write( "Question 527745: Juan wants to make a trail mix that contains 40% pecans. He has a bag of trail mix that has only 25% pecans at home and another bag that contains only pecans. How much of each should he mix together to make a 16-oz bag of trail mix that contains 40% pecans? \n" ); document.write( "

Algebra.Com's Answer #349013 by josmiceli(19441) $\"\"$ $\"About$

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He ends up with
\n" ); document.write( " $\"+.4%2A16+=+6.4+\"$ ounces of pecans
\n" ); document.write( "Let $\"+a+\"$ = ounces of 25% mix needed
\n" ); document.write( "Let $\"+b+\"$ = ounces of 100% mix needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+16+\"$
\n" ); document.write( "(2) $\"+.25a+%2B+b+=+6.4+\"$
\n" ); document.write( "Multiply both sides of (2) by
\n" ); document.write( " $\"+100+\"$ . Then multiply both
\n" ); document.write( "sides of (1) by $\"25\"$ and subtract
\n" ); document.write( "(1) from (2)
\n" ); document.write( "(2) $\"+25a+%2B+100b+=+640+\"$
\n" ); document.write( "(1) $\"+-25a+-+25b+=+-400+\"$
\n" ); document.write( " $\"+75b+=+240+\"$
\n" ); document.write( " $\"+b+=+3.2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+16+\"$
\n" ); document.write( "(1) $\"+a+=+12.8+\"$
\n" ); document.write( "12.8 ounces of 25% mix are needed
\n" ); document.write( "3.2 ounces of 100% mix are needed \n" ); document.write( "

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