document.write( "Question 30391: Hello
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document.write( " I need help with a solution problem. I can not seem to put this thing together.
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document.write( " A pharmacist is to prepare 15 milliliters of special eye drops for a glaucoma patient. The eye-drop solution must have a 2% active ingredient, but the pharmacist only has 10% solution and 1% solution in stock. How much of each type of solution should be used to fill the prescription.
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document.write( "Help with this will be greatly appreciated, I am lost on this one.\r
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document.write( "Thanks
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document.write( " Terry \n" );
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Algebra.Com's Answer #17094 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! First off, real my Lesson on this website on how to do this type of question.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Second, just looking at the question, we have some 10% and some 1% that mix to make a 2% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Just by common sense, we will need more of the 1% solution, since the final answer is a 2% solution. Hoepfully that makes sense? We expect a lot more of the 1% solution to be used.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Right... \n" ); document.write( "Let x = amount of 1% solution used. \n" ); document.write( "So, how much of 10% is used? Answer is (15-x) --> ie everything else to make up the final 15ml.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BEFORE: x of 1% AND (15-x) of 10% \n" ); document.write( "--> 0.01x + 0.10(15-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AFTER: 15ml of 2% \n" ); document.write( "--> 0.02*15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And being a mixture, the BEFORE has to equal the AFTER: \n" ); document.write( "0.01x + 0.10(15-x) = 0.02*15 \n" ); document.write( "0.01x + 1.5 - 0.10x = 0.30 \n" ); document.write( "-0.09x = -1.2 \n" ); document.write( "x = -1.2/-0.09 \n" ); document.write( "x = 13.3333 ml\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and so there are 13.3333ml of the 1% solution and 1.6666ml of the 10% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |