document.write( "Question 501601: A merchant mixed 12 lb of a cinnamon tea with 4 lb of spice tea. The 16-pound mixture cost $42. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $64. Find the cost per pound of the cinnamon tea and of the spice tea.
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Algebra.Com's Answer #338592 by mananth(16946)\"\" \"About 
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cinnamon tea x $/kg
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\n" ); document.write( "12 x + 4 y = 42 .............1
\n" ); document.write( "16 x + 8 y = 64 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-24 x -8 y = -84
\n" ); document.write( "16 x 8 y = 64
\n" ); document.write( "Add the two equations
\n" ); document.write( "-8 x = -20
\n" ); document.write( "/ -8
\n" ); document.write( "x = 2.50
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "12 x + 4 y = 42
\n" ); document.write( "30 + 4 y = 42
\n" ); document.write( " 4 y = 42 -30
\n" ); document.write( " 4 y = 12
\n" ); document.write( " y = 3.00
\n" ); document.write( "cinnamon tea 2 1/2 $/kg
\n" ); document.write( "spice tea 3 $/kg
\n" ); document.write( "m.ananth@hotmail.ca
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