document.write( "Question 148803: A mixture of birdseed contains sunflower seeds worth $1.30 per kilogram and other seeds worth #0.90 per kilogram. How many kilograms of each kind must be used to produce 100 kilograms of mixture that sells $1.00 per kilogram? \n" ); document.write( "
Algebra.Com's Answer #109129 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=amount of $0.90 seeds needed; $0.90x=value of these seeds
\n" ); document.write( "Then 100-x=amount of $1.30 seeds needed; $1.30(100-x)= value of these seeds
\n" ); document.write( "And $1.00(100) equals value of final mixture\r
\n" ); document.write( "\n" ); document.write( "Now we know that the value of the seeds before the mixture takes place has to equal the value of the seeds after they are mixed together. So, our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "$0.90x+$1.30(100-x)=$1.00*100 get rid of parens (distributive law)
\n" ); document.write( "$0.90x+$130-$1.30x=$100 subtract $130 from each side\r
\n" ); document.write( "\n" ); document.write( "$0.90x+$130-$130-$1.30x=$100-$130 collect like terms
\n" ); document.write( "-$0.40x=-$30 divide each side by -$0.40
\n" ); document.write( "x=75 kilo-------------------------------------amount of $0.90 seeds needed\r
\n" ); document.write( "\n" ); document.write( "100-x=100-75=25 kilo ------------------------amount of $1.30 seeds needed\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "75*$0.90+25*$1.30=100*$1.00
\n" ); document.write( "$67.5+$32.5=$100
\n" ); document.write( "$100=$100\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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