document.write( "Question 1097756: A pharmacist is to prepare 15ml of special eye drops for a glaucoma patient. The eye-drop solution must have a 2% active ingredient, but the pharmacist only has a 10% and 1% solution in stock. Identify which one of the following shows the correct amount of each type of solution should be used to fill the prescription (2 decimal places required).
\n" ); document.write( "Totally lost.
\n" ); document.write( "Initially I thought:
\n" ); document.write( "0.1x +0.2 =15 0.01 y +0.2 =15
\n" ); document.write( "-.2 from both sdes
\n" ); document.write( "and then divided both sides by the decimal....giving a totally nonsense answer.
\n" ); document.write( "Totally lost. \n" ); document.write( "

Algebra.Com's Answer #712176 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the amount (the volume in mL) of the 10% solution.\r\n" );
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document.write( "Then the amount of the 1% solution is (15-x) mL.\r\n" );
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document.write( "The balance equation is\r\n" );
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document.write( "0.1*x + 0.01*(15-x) = 0.02*15.\r\n" );
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document.write( "Multiply by 100 both sides and simplify:\r\n" );
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document.write( "10x + 15-x = 30  ====>  9x = 30-15 = 15  ====>  x =  =  = 1.666 mL.\r\n" );
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document.write( "Answer.  1.666 mL of the 10% solution and 15 - 1.666 = 13.333 mL of the 1% solution.\r\n" );
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document.write( "Check.   1.666*0.1 + 13.333*0.01 = 0.3 = 0.02*15 mL   ! Correct !\r\n" );
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\n" ); document.write( "There is entire bunch of introductory lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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