document.write( "Question 1160426: A coffee distributor needs to mix a(n) Ethiopian coffee blend that normally sells for $8.10 per pound with a Breakfast coffee blend that normally sells for $14.30 per pound to create 80 pounds of a coffee that can sell for $12.67 per pound. How many pounds of each kind of coffee should they mix?\r
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document.write( "A) Write an equation using the information as it is given above that can be solved to answer the question. Use
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document.write( "x as your variable to represent the quantity of Ethiopian coffee blend.
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document.write( "Equation: \r
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document.write( "B) Answer: They must mix
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document.write( " ?pounds of the Ethiopian Blend
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document.write( " ?pounds of the Breakfast Blend.
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document.write( "Round your answers to the nearest whole number of pounds. \n" );
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Algebra.Com's Answer #783702 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Ethiopian coffee blend that normally sells for $8.10 per pound . let it be x pounds\r \n" ); document.write( "\n" ); document.write( "Breakfast coffee blend that normally sells for $14.30 per pound let it be y pounds\r \n" ); document.write( "\n" ); document.write( " to create 80 pounds of a coffee(x+y) that can sell for $12.67 per pound.\r \n" ); document.write( "\n" ); document.write( "Quantity \r \n" ); document.write( "\n" ); document.write( "x+y=80-----------------------(1)\r \n" ); document.write( "\n" ); document.write( "8.10x+14.30y = 12.67(x+y)\r \n" ); document.write( "\n" ); document.write( "8.10x + 14.30y = 12.67x+12.67y \n" ); document.write( "rearrange. \n" ); document.write( "4.57x-1.63y=0--------------------(2)\r \n" ); document.write( "\n" ); document.write( "1.00 x + 1.00 y = 80.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "4.57 x + -1.630 y = 0.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1.63 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "1.63 x 1.63 y = 130.40 \n" ); document.write( "4.57 x -1.63 y = 0.00 \n" ); document.write( "Add the two equations \n" ); document.write( "6.20 x = 130.40 \n" ); document.write( "/ 6.20 \n" ); document.write( "x = 21.03 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 80.00 \n" ); document.write( "21.03 + 1.00 y = 80.00 \n" ); document.write( " 1.00 y = 58.97 \n" ); document.write( " y = 58.97 \n" ); document.write( "Ans x = 21.03 \n" ); document.write( " y = 58.97 \n" ); document.write( " 21.03 pounds Ethopian coffee \n" ); document.write( " 58.97 pounds Breakfast coffee \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |