document.write( "Question 491069: A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of 2% and 8% saline solutions. How many liters of each of these solutions should be mixed together to yield 2 liters of the desired concentration? \n" ); document.write( "
Algebra.Com's Answer #334593 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of 2% and 8% saline solutions. \n" ); document.write( " How many liters of each of these solutions should be mixed together to yield 2 liters of the desired concentration? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 8% solution required \n" ); document.write( "the resulting amt is to be 2 liters, therefore \n" ); document.write( "(2-x) = amt of 2% solution required \n" ); document.write( ": \n" ); document.write( "Write a decimal form of the amt of saline equation \n" ); document.write( ": \n" ); document.write( ".08x + .02(2-x) = .068(2) \n" ); document.write( ".08x + .04 - .02x = .136 \n" ); document.write( ".08x - .02x = .136 - .04 \n" ); document.write( ".06x = .096 \n" ); document.write( "x = \n" ); document.write( "x = 1.6 liters of the 8% solution \n" ); document.write( "then \n" ); document.write( "2 - 1.6 = .4 liters of the 2% solution \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check these solutions in the original equation \n" ); document.write( ".08(1.6) + .02(.4) = .068(2) \n" ); document.write( " \n" ); document.write( " |