document.write( "Question 366389: A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound to produce 50 lb of a mixture that sells for $3.25 a pound. How many pounds of each type of tea does the merchant use in the blend?
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Algebra.Com's Answer #261078 by stanbon(75887) $\"\"$ $\"About$

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A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound to produce 50 lb of a mixture that sells for $3.25 a pound. How many pounds of each type of tea does the merchant use in the blend?\r
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\n" ); document.write( "Quantity: x + y = 50 lbs
\n" ); document.write( "Value:::4.60x+2.35y = 3.25*50
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\n" ); document.write( "Multiply thru 1st by 235.
\n" ); document.write( "Multiply thru 2nd by 100.
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\n" ); document.write( "235x + 235y = 235*50
\n" ); document.write( "460x + 235y = 325*50
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\n" ); document.write( "Subtract 1st from 2nd and solve for \"x\":
\n" ); document.write( "225x = 90*50
\n" ); document.write( "x = 20 lbs (amt of 4.60 tea needed in the mix)
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\n" ); document.write( "y = 30 lbs (amt of 2.35 tea needed in the mix)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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