document.write( "Question 373039: A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of 8% and 2% saline solutions. How many liters of each solutions should be mixed together to yield 2 liters of the desired concentration.\r
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document.write( "Can someone please help me with this one? I just can't get my head around it! \n" );
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Algebra.Com's Answer #265644 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A dehydrated patient needs a 2.6% saline IV. \n" ); document.write( "Unfortunately, the hospital only has bags of 8% and 2% saline solutions. \n" ); document.write( " How many liters of each of these solutions should be mixed together to \n" ); document.write( " yield 2 liters of the desired concentration? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 8% solution required \n" ); document.write( "then \n" ); document.write( "(2-x) = amt of 2% solution \n" ); document.write( ": \n" ); document.write( ".08x + .02(2-x) = .026(2) \n" ); document.write( ".08x + .04 - .02x = .056 \n" ); document.write( ".08x - .02x = .056 - .04 \n" ); document.write( ".06x = .016 \n" ); document.write( "x = \n" ); document.write( "x = .267 liters of the 8% solution required \n" ); document.write( "then \n" ); document.write( "2 - .267 = 1.733 liters of the 2% solution \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check in original equation \n" ); document.write( ".08(.267) + .02(1.733) = .026(2) \n" ); document.write( ".02136 + .03466 = .056 \n" ); document.write( ".056 = .056; confirms our answer \n" ); document.write( " |