document.write( "Question 102426: I looked over my notes several times, but I still have trouble setting up the problem and solving it. I'm not even sure I have this under the right category. This is being solved using a Quantity-Value Table.\r
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document.write( "Juan has coffee that sells for $9 a pound and $4 a pound. How many pounds of each must be mixed to get 20 pounds of coffee worth $8.25 a pound?\r
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document.write( "I know the table is set up as Q|V|Q*V. What I tried using was x*4, x*9, and 20*8.25. I'm not sure I have it set up correctly. Then I got to 9x+4x=165. Solve and get x = 165/13. I know I'm supposed to apply that answer to get the resulting answer for both the $9 a pound and $4 a pound, but I'm not sure how.\r
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document.write( "Please and thank you for any help you can give! \n" );
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Algebra.Com's Answer #74412 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Juan has coffee that sells for $9 a pound and $4 a pound. How many pounds of each must be mixed to get 20 pounds of coffee worth $8.25 a pound? \n" ); document.write( "------------ \n" ); document.write( "Let amt. of $9 coffee be \"x\" ; Value of this is 9x dollars \n" ); document.write( "-------------------------- \n" ); document.write( "Amt. of $4 coffee is \"20-x\" ; value of this is 4(20-x)= 80-4x dollars \n" ); document.write( "-------------------------- \n" ); document.write( "Amt of mixture = 20 lbs ; value of this is 8.25*20 = 165 dollars \n" ); document.write( "---------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value = value \n" ); document.write( "9x + 80-4x = 165 \n" ); document.write( "5x = 85 \n" ); document.write( "x =17 lbs (amount of $9 coffee in the mixture) \n" ); document.write( "20-x = 3 lbs (amount of $4 coffee in the misture)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |