document.write( "Question 567119: Birdseed costs $0.59 a pound and sunflower seeds cost %0.89. Angela's pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for $0.76 per pound. How many pounds of each type of seeds should she use? \r
\n" ); document.write( "\n" ); document.write( "Please help me solve this application problem for systems of linear equations! \n" ); document.write( "

Algebra.Com's Answer #366439 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of birdseed needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of sunflower seeds needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+40+\"$
\n" ); document.write( "(2) $\"+%28+.59a+%2B+.89b+%29+%2F+40+=+.76+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+.59a+%2B+.89b+=+.76%2A40+\"$
\n" ); document.write( "(2) $\"+.59a+%2B+.89b+=+30.4+\"$
\n" ); document.write( "(2) $\"+59a+%2B+89b+=+3040+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+59+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+59a+%2B+89b+=+3040+\"$
\n" ); document.write( "(1) $\"+-59a+-+59b+=+-2360+\"$
\n" ); document.write( " $\"+30b+=+680+\"$
\n" ); document.write( " $\"+b+=+22.667+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+22.667+=+40+\"$
\n" ); document.write( "(1) $\"+a+=+17.+333+\"$
\n" ); document.write( "17 and 1/3 pounds of birdseed are needed
\n" ); document.write( "22 and 2/3 pounds of sunflower seed are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+.59%2A17.333+%2B+.89%2A22.667+%29+%2F+40+=+.76+\"$
\n" ); document.write( "(2) $\"+%28+10.22666+%2B+20.17333+%29+%2F+40+=+.76+\"$
\n" ); document.write( "(2) $\"+30.40003+=+.76%2A40+\"$
\n" ); document.write( "(2) $\"+30.40003+=+30.4+\"$
\n" ); document.write( "close enough, error due to rounding off \n" ); document.write( "

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