document.write( "Question 715521: A merchant mixed 12 lb of a cinnamon tea with 6 lb of spice tea. The 18 pound mixture cost $39. A second mixture included 16 lb of the cinnamon tea and 10 lb of the spice tea. The 26 pound mixture cost $57. Find the cost per pound of the cinnamon tea and of the spice tea.\r
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document.write( "$_____ per lb cinnamon\r
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document.write( "$_____ per lb spice \n" );
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Algebra.Com's Answer #439493 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Price of the cinnamon tea $/# = c \n" ); document.write( "Price of the spice tea, $/# = s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mixture Size 18 Pounds \n" ); document.write( "Amount Cinn___________12# \n" ); document.write( "Amount Spice__________6# \n" ); document.write( "Mixture Cost__________39$ \n" ); document.write( "Equation for Cost_____12*c+6*s=39\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mixture Size 26 Pounds \n" ); document.write( "Amount Cinn___________16# \n" ); document.write( "Amount Spice__________10# \n" ); document.write( "Mixture Cost__________57$ \n" ); document.write( "Equation for Cost_____16*c+10*s=57\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "INITIALLY THE SYSTEM TO SOLVE: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The $39 equation can be simplified, dividing by 3. \n" ); document.write( "The $39 equation is the same as \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A BETTER SYSTEM: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The easiest next step is to multiply the \"13\" equation by 4 which will allow you to eliminate terms of x and solve for s, its value. I leave that advice and the rest of the solution for you to finish (or to comment on if you get stuck).\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |