document.write( "Question 567707: A merchant mixed 10 lb of a cinnamon tea with 5 lb of spice tea. The 15-pound mixture cost $40. A second mixture included 12 lb of the cinnamon tea and 8 lb of spice tea. The 20 lb mixture cost $54. Find the cost per pound of the cinnamon tea and the spice tea. \n" ); document.write( "
Algebra.Com's Answer #366678 by lwsshak3(11628)\"\" \"About 
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A merchant mixed 10 lb of a cinnamon tea with 5 lb of spice tea. The 15-pound mixture cost $40. A second mixture included 12 lb of the cinnamon tea and 8 lb of spice tea. The 20 lb mixture cost $54. Find the cost per pound of the cinnamon tea and the spice tea.
\n" ); document.write( "**
\n" ); document.write( "let x=cost per pound of cinnamon
\n" ); document.write( "let y=cost per pound of spice tea
\n" ); document.write( "..
\n" ); document.write( "10x+5y=40
\n" ); document.write( "12x+8y=54
\n" ); document.write( "..
\n" ); document.write( "80x+40y=320 (mult. by 8)
\n" ); document.write( "60x+40y=270 (mult. by 5)
\n" ); document.write( "subtract
\n" ); document.write( "20x=50
\n" ); document.write( "x=50/20=2.5
\n" ); document.write( "..
\n" ); document.write( "5y=40-10x=40-25=15
\n" ); document.write( "y=3
\n" ); document.write( "ans:
\n" ); document.write( "cost per pound of cinnamon=$2.50
\n" ); document.write( "cost per pound of spice tea=$3.00 \n" ); document.write( "
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