document.write( "Question 1054026: A coffee distributor needs to mix a(n) Queen City coffee blend that normally sells for $9.10 per pound with a Organic Free Trade coffee blend that normally sells for $13.70 per pound to create 70 pounds of a coffee that can sell for $13.57 per pound. How many pounds of each kind of coffee should they mix? \n" ); document.write( "
Algebra.Com's Answer #669258 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of $9.10/lb coffee needed
\n" ); document.write( "Let \"+b+\" = pounds of $13.70/lb coffee needed
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+70+\"
\n" ); document.write( "(2) \"+%28+9.1a+%2B+13.7b+%29+%2F+70+=+13.57+\"
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(2) \"+9.1a+%2B+13.7b+=+13.57%2A70+\"
\n" ); document.write( "(2) \"+9.1a+%2B+13.7b+=+949.9+\"
\n" ); document.write( "(2) \"+91a+%2B+137b+=+9499+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+91+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+91a+%2B+137b+=+9499+\"
\n" ); document.write( "(1) \"+-91a+-+91b+=+-6370+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "\"+46b+=+3129+\"
\n" ); document.write( "\"+b+=+68.022+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+70+\"
\n" ); document.write( "(1) \"+a+%2B+68.022+=+70+\"
\n" ); document.write( "(1) \"+a+=+1.978+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "They need 1.978 pounds of Queen City Coffee
\n" ); document.write( "They need 68.022 pounds of Organic Free Trade Coffee
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+9.1a+%2B+13.7b+%29+%2F+70+=+13.57+\"
\n" ); document.write( "(2) \"+%28+9.1%2A1.978+%2B+13.7%2A68.022+%29+%2F+70+=+13.57+\"
\n" ); document.write( "(2) \"+%28+18+%2B+931.9+%29+%2F+70+=+13.57+\"
\n" ); document.write( "(2) \"+949.9+%2F+70+=+13.57+\"
\n" ); document.write( "(2) \"+949.9+=+949.9+\"
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it
\n" ); document.write( "
\n" );