document.write( "Question 1017066: A merchant mixed 8 lb of a cinnamon tea with 2 lb of spice tea. The 10-pound mixture cost $16. A second mixture included 12 lb of the cinnamon tea and 14 lb of the spice tea. The 26-pound mixture cost $46. Find the cost per pound of the cinnamon tea and of the spice tea. \n" ); document.write( "
Algebra.Com's Answer #633418 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A merchant mixed 8 lb of a cinnamon tea with 2 lb of spice tea. The 10-pound mixture cost $16. A second mixture included 12 lb of the cinnamon tea and 14 lb of the spice tea. The 26-pound mixture cost $46. Find the cost per pound of the cinnamon tea and of the spice tea. \n" ); document.write( "let c=cost per pound of cinnamon tea \n" ); document.write( "let s=cost per pound of spice tea\r \n" ); document.write( "\n" ); document.write( "8c+2s=16 \n" ); document.write( "12c+14s=46\r \n" ); document.write( "\n" ); document.write( "56c+14s=112 \n" ); document.write( "12c+14s=46 \n" ); document.write( "subtract: \n" ); document.write( "44c=66 \n" ); document.write( "c=66/44 \n" ); document.write( "c=1.50 \n" ); document.write( "2s=16-8c \n" ); document.write( "2s=4.00 \n" ); document.write( "s=2.00 \n" ); document.write( "cost per pound of cinnamon tea=$1.50 \n" ); document.write( "cost per pound of spice tea=$2.00 \n" ); document.write( " |