document.write( "Question 1074468: The Coffee Hut charges $9 per pound for Audioslave French Roast coffee and $8 per pound for Humble Pie Bold coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound? \n" ); document.write( "
Algebra.Com's Answer #689136 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of AFR coffee needed
\n" ); document.write( "Let \"+b+\" = pounds of HPB coffee needed
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+20+\"
\n" ); document.write( "(2) \"+%28+9a+%2B+8b+%29+%2F+20+=+8.4+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+9a+%2B+8b+=+168+\"
\n" ); document.write( "Multiply both sides of (1) by \"+8+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+9a+%2B+8b+=+168+\"
\n" ); document.write( "(1) \"+-8a+-+8b+=+-160+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+a+=+8+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+8+%2B+b+=+20+\"
\n" ); document.write( "(1) \"+b+=+12+\"
\n" ); document.write( "----------------------
\n" ); document.write( "8 pounds of AFR coffee are needed
\n" ); document.write( "12 pounds of HPB coffee are needed
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+9a+%2B+8b+%29+%2F+20+=+8.4+\"
\n" ); document.write( "(2) \"+%28+9%2A8+%2B+8%2A12+%29+%2F+20+=+8.4+\"
\n" ); document.write( "(2) \"+%28+72+%2B+96+%29+%2F+20+=+8.4+\"
\n" ); document.write( "(2) \"+168+=+8.4%2A20+\"
\n" ); document.write( "(2) \"+168+=+168+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );