document.write( "Question 1017152: A merchant blends tea that sells for $4.20 a pound with tea that sells for $2.40 a pound to produce 120 lb of a mixture that sells for $3.45 a pound. How many pounds of each type of tea does the merchant use in the blend? \n" ); document.write( "

Algebra.Com's Answer #633563 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A merchant blends tea that sells for $4.20 a pound with tea that sells for $2.40 a pound to produce 120 lb of a mixture
\n" ); document.write( "that sells for $3.45 a pound. How many pounds of each type of tea does the merchant use in the blend?
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document.write( "Let x = the amount of tea for $4.20 the merchant uses in the blend, in lbs.\r\n" );
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document.write( "Then 120-x is the amount of tea for $2.40 the merchant uses in the blend.\r\n" );
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document.write( "The balance equation is\r\n" );
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document.write( "420x + 240*(120-x) = 120*345.\r\n" );
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document.write( "Simplify it:\r\n" );
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document.write( "420x - 240x = 120*345 - 240*120,\r\n" );
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document.write( "180x = 120*(345 - 240),\r\n" );
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document.write( "180x = 120*105,\r\n" );
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document.write( "x =  =  = 2*35 = 70.\r\n" );
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document.write( "Answer. 70 lbs for $4.20 and 120-70 = 50 lbs for $2.40\r\n" );
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