document.write( "Question 500158: A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of 4% and 7% saline solutions. How many liters of each of these solutions should be mixed together to yield 3 liters of the desired concentration?\r
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document.write( "x=4% saline solutions
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document.write( "y=7% saline solutions \r
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document.write( "x+y=3
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document.write( ".04x+.07y=.068
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document.write( "x=3-y
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document.write( ".04(3-y)+.07y=.068
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document.write( ".12-.04y+.07y=.068
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document.write( ".03y=-.052
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document.write( "y=-1.73
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document.write( "x+-1.73=3
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document.write( "x=4.73
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document.write( "4.73+-1.73=3
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document.write( "3=3
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document.write( ".04(4.73)+.07(-1.73)=.068
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document.write( ".189-.121=.068
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document.write( ".068=.068 \n" );
document.write( "
Algebra.Com's Answer #338022 by mananth(16949) You can put this solution on YOUR website! percent percent ---------------- quantity \n" ); document.write( "Saline I 4 ---------------- x liters \n" ); document.write( "Saline II 7 ---------------- 3 - x liters \n" ); document.write( "Mixture 6.80% ---------------- 3 \n" ); document.write( " \n" ); document.write( "4x+7(3-x)=6.8* 3 \n" ); document.write( " \n" ); document.write( "4x+21-7x=20.4 \n" ); document.write( "4x-7x= 20.4 - 21 \n" ); document.write( "-3x= -0.6 \n" ); document.write( "/ -3 \n" ); document.write( " x=0.2 liters 4.00% Saline I \n" ); document.write( " 2.8 liters 7.00% Saline II \n" ); document.write( " \n" ); document.write( " |