document.write( "Question 494416: The owner of a store sells raisins for $3.20 per pound and nuts for $2.40 per pound. He decides to mix the raisins and sell 50lb of mixture for $2.72 per pound. What quantities of raisins and nuts should he use? \n" ); document.write( "

Algebra.Com's Answer #335701 by htmentor(1343) $\"\"$ $\"About$

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The owner of a store sells raisins for $3.20 per pound and nuts for $2.40 per pound. He decides to mix the raisins and sell 50lb of mixture for $2.72 per pound. What quantities of raisins and nuts should he use?
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\n" ); document.write( "Let r = the quantity of raisins
\n" ); document.write( "Since the total mixture is 50 lb, the quantity of nuts = 50 - r
\n" ); document.write( "We can write the following equation for the total dollar amount:
\n" ); document.write( "3.20r + 2.40(50-r) = 2.72*50
\n" ); document.write( "Simplify and solve:
\n" ); document.write( "3.2r - 2.4r + 120 = 136
\n" ); document.write( "0.8r = 16
\n" ); document.write( "r = 20
\n" ); document.write( "So the quantities are:
\n" ); document.write( "Raisins- 20 lbs
\n" ); document.write( "Nuts- 50 - 20 = 30 lbs \n" ); document.write( "

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