document.write( "Question 1050539: A merchant mixed 8 lb of a cinnamon tea with 4 lb pf spice tea. The 12 pound mixture cost $14. A second mixture included 12 lb of the cinnamon tea and 12 lb of the spice tea. The 24 pound mixture cost $30. Find the coat per pound of the cinnamon tea and the spice tea. \n" ); document.write( "
Algebra.Com's Answer #666116 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = cost/pound of cinnamon tea
\n" ); document.write( "Let \"+b+\" = cost/pound of spice tea
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+8a+%2B+4b+=+14+\"
\n" ); document.write( "(2) \"+12a+%2B+12b+=+30+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+4a+%2B+2b+=+7+\"
\n" ); document.write( "(2) \"+2a+%2B+2b+=+5+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "\"+2a+=+2+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2%2A1+%2B+2b+=+5+\"
\n" ); document.write( "(2) \"+2+%2B+2b+=+5+\"
\n" ); document.write( "(2) \"+2b+=+3+\"
\n" ); document.write( "(2) \"+b+=+1.5+\"
\n" ); document.write( "-------------------
\n" ); document.write( "$1.50 = cost/pound of spice tea
\n" ); document.write( "$1.00 = cost/pound of cinnamon tea
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+4a+%2B+2b+=+7+\"
\n" ); document.write( "(1) \"+4%2A1+%2B+2%2A1.5+=+7+\"
\n" ); document.write( "(1) \"+4+%2B+3+=+7+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2a+%2B+2b+=+5+\"
\n" ); document.write( "(2) \"+2%2A1+%2B+2%2A1.5+=+5+\"
\n" ); document.write( "(2) \"+2+%2B+3+=+5+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );