document.write( "Question 584607: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $38. A second mixture included 10 lb of the cinnamon tea and 12 lb of the spice tea. The 22-pound mixture cost $72. Find the cost per pound of the cinnamon tea and of the spice tea. \n" ); document.write( "

Algebra.Com's Answer #372817 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( "(1) $\"+8a+%2B+4b+=+38+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+10a+%2B+12b++=+72+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Multiply both sides of (1) by $\"3\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+24a+%2B+12b+=+114+\"$
\n" ); document.write( "(2) $\"+-10a+-+12b+=+-72+\"$
\n" ); document.write( " $\"+14a+=+42+\"$
\n" ); document.write( " $\"+a+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+8%2A3+%2B+4b+=+38+\"$
\n" ); document.write( "(1) $\"+24+%2B+4b+=+38+\"$
\n" ); document.write( "(1) $\"+4b+=+14+\"$
\n" ); document.write( "(1) $\"+b+=+3.5+\"$
\n" ); document.write( "The cost/pound of cinnamon tea is $3
\n" ); document.write( "The cost/pound of spice tea is $3.50
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+10%2A3+%2B+12%2A3.5++=+72+\"$
\n" ); document.write( "(2) $\"+30+%2B+42+=+72+\"$
\n" ); document.write( "(2) $\"+72+=+72+\"$
\n" ); document.write( "OK \n" ); document.write( "

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