document.write( "Question 927545: A merchant mixes 4 lb of cinnamon tea with 1 lb of spice tea to create a mixture that costs $12 per pound. When the merchant mixes 1 lb of the cinnamon tea with 4 lb of the spice tea, the mixture costs $15 per pound. Is the cost per pound of the cinnamon tea less than, equal to, or greater than the cost of the spice tea?\r
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Algebra.Com's Answer #563050 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = $ / pound of cinnamon tea
\n" ); document.write( "Let \"+b+\" = $ / pound of spice tea
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\n" ); document.write( "(1) \"+%28+4a+%2B+1%2Ab+%29+%2F+%28+4+%2B+1+%29+=+12+\"
\n" ); document.write( "(2) \"+%28+1%2Aa+%2B+4b+%29+%2F+%28+1+%2B+4+%29+=+15+\"
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\n" ); document.write( "(1) \"+%28+4a+%2B+b+%29+%2F+5+=+12+\"
\n" ); document.write( "(2) \"+%28+1%2Aa+%2B+4b+%29+%2F+5+=+15+\"
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\n" ); document.write( "(1) \"+4a+%2B+b+=+60+\"
\n" ); document.write( "(2) \"+a+%2B+4b+=+75+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+4+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+16a+%2B+4b+=+240+\"
\n" ); document.write( "(2) \"+-a+-+4b+=+-75+\"
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\n" ); document.write( "\"+15a+=+165+\"
\n" ); document.write( "\"+a+=+11+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+4b+=+75+\"
\n" ); document.write( "(2) \"+11+%2B+4b+=+75+\"
\n" ); document.write( "(2) \"+4b+=+64+\"
\n" ); document.write( "(2) \"+b+=+16+\"
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\n" ); document.write( "The cost / pound of the cinnamon
\n" ); document.write( "tea is less than the spice tea
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