document.write( "Question 25925: Here is a mixture problem. I must have a mental block against work problems because I never under stand how to set them up. I know mixture problems have to same formula to work them out, but I keep getting the numbers in the wrong places. Thanks for any help. Any suggestions would be great!!!\r
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document.write( "Mean Melinda's radiator only has 1.5L in it and it is only 33 1/3% anti-freeze. The manufacturer recommends that the radiator be filled with 4L of 50% antifreeze. How much antifreeze and how much water must Melinda add to her radiator to meet the manufacturer's specifications?\r
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document.write( "I say just take it to Jiffy lube!!!\r
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document.write( "Can you please help me?
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document.write( "Donna \n" );
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Algebra.Com's Answer #13938 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! Let x = volume of antifreeze to add.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, BEFORE = AFTER\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5*0.333 + x*1.000 = (x+1.5)*0.50 \n" ); document.write( "0.5 + x = 0.50x + 0.75 \n" ); document.write( "0.50x = 0.25 \n" ); document.write( "x = 0.5 litres\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, to make up a 50% concentration requires 0.5 litres of antifreeze. \n" ); document.write( "So now we have a radiator with 2 litres liquid in it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Recommendation is for 4 litres, so we need a further 2 litres of liquid. To keep this at 50%water-50% antifreeze, we add 1 litre of each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, in total we have added 1.5 litres of antifreeze and 1 litre of water.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Does this make sense?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |