document.write( "Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution? \n" ); document.write( "
Algebra.Com's Answer #837622 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = amount of the 9% saline solution in cubic centimeters (cc) \n" ); document.write( "0.09x = amount of pure saline from the 9% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add on 70*0.17 = 11.9 more ccs of pure saline to get 0.09x+11.9 ccs of total pure saline.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let A = 0.09x+11.9 to represent this quantity.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = total amount of solution \n" ); document.write( "B = x + 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A/B = concentration of saline \n" ); document.write( "(0.09x+11.9)/(x + 70) = 0.13\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's solve for x \n" ); document.write( "(0.09x+11.9)/(x + 70) = 0.13 \n" ); document.write( "0.09x+11.9 = 0.13(x + 70) \n" ); document.write( "0.09x+11.9 = 0.13x + 9.1 \n" ); document.write( "0.09x-0.13x = 9.1-11.9 \n" ); document.write( "-0.04x = -2.8 \n" ); document.write( "x = -2.8/(-0.04) \n" ); document.write( "x = 70\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 70 ccs of the 9% saline solution. \n" ); document.write( " \n" ); document.write( " |