document.write( "Question 1086441: The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut. If hazelnuts sell for $6 per pound and milk chocolate sells for $3 per pound, how many pounds of each should they mix together to create a six-pound box that sells for $5 per pound? \r
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Algebra.Com's Answer #700632 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut.
\n" ); document.write( "If hazelnuts sell for $6 per pound and milk chocolate sells for $3 per pound, how many pounds of each should they mix together
\n" ); document.write( "to create a six-pound box that sells for $5 per pound?
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document.write( "Take x (now unknown) pounds of milk chocolate and y (now unknown) pounds of hazelnuts.\r\n" );
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document.write( "Then the total mass of the mix is x+y pounds, and your equations are\r\n" );
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document.write( " x +  y = 6     (1)   (total mass equation in pounds)\r\n" );
document.write( "6x + 3y = 5*6   (2)   (total value in dollars)\r\n" );
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document.write( "In other words,\r\n" );
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document.write( " x +  y =  6,   (1)\r\n" );
document.write( "6x + 3y = 30.   (2)\r\n" );
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document.write( "From equation (1) express x = 6 - y and substitute it into the equation (2). \r\n" );
document.write( "You will get a single equation for single unknown y:\r\n" );
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document.write( "6*(6-y) + 3y = 30.\r\n" );
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document.write( "Simplify and solve for y:\r\n" );
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document.write( "36 - 6y + 3y = 30,   or\r\n" );
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document.write( "-3y = 30 - 36,\r\n" );
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document.write( "-3y = -6,\r\n" );
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document.write( "y =  = 2.\r\n" );
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document.write( "Thus you found the unknown y. It is 2.\r\n" );
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document.write( "So you need to use 2 pounds of hazelnuts.\r\n" );
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document.write( "Then the mass of milk chocolate is 6 - 2 = 4 pounds.\r\n" );
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document.write( "Answer. Mix 4 pounds of milk chocolate with 2 pounds of hazelnuts.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\n" ); document.write( "
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