document.write( "Question 1025311: A coffee shop has pure Kona beans that sell for
\n" ); document.write( "​$45per pound. The owner wants to create
\n" ); document.write( "50 pounds of a Kona blend mixture that can be sold for
\n" ); document.write( "​$31 per pound by mixing the Kona beans with some regular beans that sell for
\n" ); document.write( "​$10per pound. How many pounds of each bean should the owner​ use?
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Algebra.Com's Answer #640595 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of Kona beans needed
\n" ); document.write( "Let \"+b+\" = pounds of regular beans needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(2) \"+%28+45a+%2B+10b+%29+%2F+50+=+31+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+45a+%2B+10b+=+31%2A50+\"
\n" ); document.write( "(2) \"+45a+%2B+10b+=+1550+\"
\n" ); document.write( "(2) \"+9a+%2B+2b+=+310+\"
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+9a+%2B+2b+=+310+\"
\n" ); document.write( "(1) \"+-2a+-+2b+=+-100+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+7a+=+210+\"
\n" ); document.write( "\"+a+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(1) \"+b+=+20+\"
\n" ); document.write( "30 pounds of Kona beans are needed
\n" ); document.write( "20 pounds of regular beans are needed
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+45%2A30+%2B+10%2A20+%29+%2F+50+=+31+\"
\n" ); document.write( "(2) \"+%28+1350+%2B+200+%29+%2F+50+=+31+\"
\n" ); document.write( "(2) \"+1550+=+31%2A50+\"
\n" ); document.write( "(2) \"+1550+=+1550+\"
\n" ); document.write( "OK
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