document.write( "Question 257219: The Nut House sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10 pound of walnuts to obtain a mixture that sells for $5.50 a pound? \n" ); document.write( "

Algebra.Com's Answer #189126 by drk(1908) $\"\"$ $\"About$

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This is a mixture problem. Here is a table based on the given information:
\n" ); document.write( "NUTS . . . . . . . . . $ . . . . . . . . . . pounds . . . . . . . . . . . . $pounds
\n" ); document.write( "Walnuts . . . . . . . 4 . . . . . . . . . . .10 . . . . . . . . . . . . . . . . .40
\n" ); document.write( "Cashew . . . . . . . 7 . . . . . . . . . . . .X . . . . . . . . . . . . . . . . .7X
\n" ); document.write( "MIXTURE . . . . . .5.50 . . . .. . . . .. (X-10) . . . . . .. . .. . . .. 5.50X - 55
\n" ); document.write( "In the last column, the first two terms add to the last as
\n" ); document.write( " $\"40%2B7X+=+5.50X+%2B+55\"$
\n" ); document.write( "Solving for X, we get
\n" ); document.write( " $\"1.50X+=+15\"$
\n" ); document.write( "X = 10 pounds \n" ); document.write( "

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