document.write( "Question 275882: Fred mixes snack mix with mixed nuts to make trail mix. The snack mix is 10% peanuts; the mixed nuts are 35% peanuts. How many ounces of each should he combine to make 8 ounces of trail mix that is 20% peanuts? \n" ); document.write( "

Algebra.Com's Answer #201167 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
In words:
\n" ); document.write( "(ounces of peanuts in 10% mix + ounces of peanuts in 35% mix)/(ounces of mix) = 20%
\n" ); document.write( "Let $\"a\"$ = ounces of 10% mix needed
\n" ); document.write( "Let $\"b\"$ = ounces of 35% mix needed
\n" ); document.write( " $\"%28.1a+%2B+.35b%29%2F8+=+.2\"$
\n" ); document.write( "(1) $\"a+%2B+b+=+8\"$
\n" ); document.write( " $\"+.1a+%2B+.35b+=+1.6\"$
\n" ); document.write( "(2) $\"10a+%2B+35b+=+160\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract from (2)
\n" ); document.write( "(2) $\"10a+%2B+35b+=+160\"$
\n" ); document.write( "(1) $\"-10a+-+10b+=+-80\"$
\n" ); document.write( " $\"25b+=+80\"$
\n" ); document.write( " $\"b+=+3.2\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"a+%2B+b+=+8\"$
\n" ); document.write( " $\"a+=+8+-+3.2\"$
\n" ); document.write( " $\"a+=+4.8\"$
\n" ); document.write( "4.8 ounces of 10% mix and 3.2 ounces of 35% mix are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+.1a+%2B+.35b+=+1.6\"$
\n" ); document.write( " $\"+.1%2A4.8+%2B+.35%2A3.2+=+1.6\"$
\n" ); document.write( " $\".48+%2B+1.12+=+1.6\"$
\n" ); document.write( " $\"1.6+=+1.6\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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