document.write( "Question 970048: how many cubic centimeters of a 25% antibiotic solution should be added to 10 cubic centimeters of a 60 % antibiotic solution in order to get a 30 % antibiotic solution. \n" ); document.write( "

Algebra.Com's Answer #592715 by Boreal(15235) $\"\"$ $\"About$

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x=cc of 25% solution
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\n" ); document.write( "10 cc * 0.60 (60%) + x cc * (.25) =(x+10)cc * (.30)\r
\n" ); document.write( "\n" ); document.write( "The right is the new solution, x of the added + 10 of what is present already.\r
\n" ); document.write( "\n" ); document.write( "Multiply:
\n" ); document.write( "6 + (0.25) x = .30x + 3 ; We distribute the .30 over the (x +10)\r
\n" ); document.write( "\n" ); document.write( "6+ 0.25 x =0.30 x +3
\n" ); document.write( "Subtract 6 from each side
\n" ); document.write( "0.25 x =0.30 x -3\r
\n" ); document.write( "\n" ); document.write( "Now subtract 0.30 x from both sides
\n" ); document.write( "-0.05 x=-3
\n" ); document.write( "Multiply both sides by (-1) ; 0.05 x =3
\n" ); document.write( "Divide both sides by 0.05
\n" ); document.write( "x=0/0.05
\n" ); document.write( "x=60 cc\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "60 cc *0.25 + 10 cc *0.60=15 + 6 = 21
\n" ); document.write( "70 cc *0.30=21\r
\n" ); document.write( "\n" ); document.write( "The answer is 60 cc \n" ); document.write( "

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