document.write( "Question 1108035: Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound.\r
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Algebra.Com's Answer #853838 by ikleyn(53622)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds,
\n" ); document.write( "two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound,
\n" ); document.write( "and raisins cost $5 per pound.
\n" ); document.write( "Donna has $15 to spend on the trail mix. Determine how many pounds of trail mix she can make. (have an algebraic solution)
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\n" ); document.write( "\n" ); document.write( "        Setup equation in the post by @mananth is incorrect, leading to incorrect answer of 4 pounds of trail mix.\r
\n" ); document.write( "\n" ); document.write( "        So, his solution is incorrect both technically and conceptually.\r
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\n" ); document.write( "\n" ); document.write( "        In my post below, I will give simple and short straightforward solution.\r
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document.write( "Let's combine 1 pound of almonds, 2 pounds of walnuts, and 3 pounds of raisins.\r\n" );
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document.write( "This combination is the prescribed proportion. The total mass of this mixture is 1 + 2 + 3 = 6 pounds,\r\n" );
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document.write( "and its total cost is  1*$12 + 2*$9 + 3*$5 = $45.\r\n" );
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document.write( "So, 6 pounds of this mixture cost 45 dollars.\r\n" );
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document.write( "$15 dollars that Donna has  is  1/3  of  $45 - - - hence, \r\n" );
document.write( "for  $15  Donna may have  1/3  of  6  pounds,  i.e.  2 pounds of the mixture.\r\n" );
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document.write( "ANSWER.  For $15, Donna may have 2 pounds of the mix.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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