document.write( "Question 224171: A merchant mixed 10 pounds of cinnamon tea with 5 pounds of spice tea for $40.00. A second mixture included 12 pounds of cinnamon tea and 8 pounds of spice tea for $54.00. Find the cost per pound of the cinnamon tea and the spice tea. \n" ); document.write( "
Algebra.Com's Answer #167486 by stanbon(75887)\"\" \"About 
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A merchant mixed 10 pounds of cinnamon tea with 5 pounds of spice tea for $40.00. A second mixture included 12 pounds of cinnamon tea and 8 pounds of spice tea for $54.00. Find the cost per pound of the cinnamon tea and the spice tea.
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\n" ); document.write( "Equations:
\n" ); document.write( "Value Equation: 10c + 5s = 4000 cents
\n" ); document.write( "Value Equation: 12c + 8s = 5400 cents
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\n" ); document.write( "Multiply 1st by 8 and the 2nd by 5:
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\n" ); document.write( "80c + 40s = 8*4000
\n" ); document.write( "60c + 40s = 5*5400
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\n" ); document.write( "Subtract 2nd from 1st and solve for \"c\":
\n" ); document.write( "20c = 5000
\n" ); document.write( "c = 250 lbs (amount of cinnamon tea in the mix)
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\n" ); document.write( "Substitute into 10c+5s = 4000 to solve for \"s\":
\n" ); document.write( "10*250 + 5s = 4000
\n" ); document.write( "5s = 1500
\n" ); document.write( "s = 300 lbs (amount of spice tea in the mix)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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