document.write( "Question 630367: Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans.
\n" ); document.write( "Kona beans cost $10.25 per pound and Fuji beans cost $8.25 per pound.
\n" ); document.write( "He bought a total of 32 pounds of coffee beans and it cost $302.
\n" ); document.write( "Kwamee bought___ pounds of Kona beans and____ pounds of Fuji beans.
\n" ); document.write( "

Algebra.Com's Answer #396885 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 Fuji beans needed
\n" ); document.write( "\"+10.25a+\" = cost of Kona beans
\n" ); document.write( "\"+8.25b+\" = cost of Fuji beans
\n" ); document.write( "------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+32+\"
\n" ); document.write( "(2) \"+10.25a+%2B+8.25b+=+302+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) \"+1025a+%2B+825b+=+30200+\"
\n" ); document.write( "Multiply both sides of (1) by \"+825+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+1025a+%2B+825b+=+30200+\"
\n" ); document.write( "(1) \"+-825a+-+825b+=+-26400+\"
\n" ); document.write( "\"+200a+=+3800+\"
\n" ); document.write( "\"+a+=+19+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+32+\"
\n" ); document.write( "(1) \"+19+%2B+b+=+32+\"
\n" ); document.write( "(1) \"+b+=+13+\"
\n" ); document.write( "19 pounds of Kona beans are needed
\n" ); document.write( "13 pounds of Fuji beans are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10.25%2A19+%2B+8.25%2A13+=+302+\"
\n" ); document.write( "(2) \"+194.75+%2B+107.25+=+302+\"
\n" ); document.write( "(2) \"+302+=+302+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );