document.write( "Question 995253: I need help with This question:
\n" ); document.write( "How many pounds of regular Coffee that sells for $4 per pound and how many pounds of premium coffee that sells for $8 should be blended to obtain 24 pounds of a gourmet blend that sells for $6 per pound? \n" ); document.write( "

Algebra.Com's Answer #614045 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of regular coffee needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of premium coffee needed
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+24+\"$
\n" ); document.write( "(2) $\"+%28+4a+%2B+8b+%29+%2F+24+=+6+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "(2) $\"+4a+%2B+8b+=+144+\"$
\n" ); document.write( "(2) $\"+a+%2B+2b+=+36+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+a+%2B+2b+=+36+\"$
\n" ); document.write( "(1) $\"+-a+-+b+=+-24+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+b+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+12+=+24+\"$
\n" ); document.write( "(1) $\"+a+=+12+\"$
\n" ); document.write( "12 pounds of regular coffee are needed
\n" ); document.write( "12 pounds of premium coffee are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+4a+%2B+8b+%29+%2F+24+=+6+\"$
\n" ); document.write( "(2) $\"+%28+4%2A12+%2B+8%2A12+%29+%2F+24+=+6+\"$
\n" ); document.write( "(2) $\"+%28+48+%2B+96+%29+%2F+24+=+6+\"$
\n" ); document.write( "(2) $\"+144+=+6%2A24+\"$
\n" ); document.write( "(2) $\"+144+=+144+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );