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
\n" ); document.write( "\n" ); document.write( "A) Write an equation using the information as it is given above that can be solved to answer the question. Use
\n" ); document.write( "x as your variable to represent the quantity of Ethiopian coffee blend.
\n" ); document.write( "Equation: \r
\n" ); document.write( "\n" ); document.write( "B) Answer: They must mix
\n" ); document.write( " ?pounds of the Ethiopian Blend
\n" ); document.write( " ?pounds of the Breakfast Blend.
\n" ); document.write( "Round your answers to the nearest whole number of pounds.
\n" ); document.write( "

Algebra.Com's Answer #783702 by mananth(16946)\"\" \"About 
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\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
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\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
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