document.write( "Question 260702: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce 80lb of a mixture that sells for $2.75 a pound\r
\n" ); document.write( "\n" ); document.write( "Then the mixture contains x lb of $3.45/lb tea and y lb of $2.15/lb tea\r
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Algebra.Com's Answer #192036 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
This is a mixture problem. Here is a table based on the above information.
\n" ); document.write( "tea . . . . . . . . . . . . .$/lb . . . .. . . . . . lb . . . . . . . . . . . $
\n" ); document.write( "A . . . . . . . . . . . . . .($3.45) . . . . . . . x . . . . . . . . . . . ($3.45x)
\n" ); document.write( "B . . . . . . . . . . . . . .($2.15) . . . . . . . 80-x . . . . . . . . .$172 - $2.15x
\n" ); document.write( "mixture . . . . . . . . . ($2.75) . . . . . . .80 . . . . . . . . . . .$220
\n" ); document.write( "First, the variables x and y are there to confuse you. You only need x.
\n" ); document.write( "using the third column we get
\n" ); document.write( "(i) \"3.45x+%2B+172+-+2.15x+=+220\"
\n" ); document.write( "combine like terms to get
\n" ); document.write( " (ii) \"1.30x+%2B+172+=+220\"
\n" ); document.write( "subtract 172 to get
\n" ); document.write( "(iii) \"1.30x+=+48\"
\n" ); document.write( "divide to get
\n" ); document.write( "(iv) x = 36.92
\n" ); document.write( "you need ~ 36.92 lb of the $3.45 tea and ~ 43.08 lb of the $2.15 tea.
\n" ); document.write( "these are unusual answers, but they work.
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