document.write( "Question 1180854: You need a 95% alcohol solution. On hand, you have a 15 mL of a 10% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?\r
\n" ); document.write( "\n" ); document.write( "You will need
\n" ); document.write( " (?) mL of pure alcohol
\n" ); document.write( "to obtain
\n" ); document.write( "(?) mL of the desired 95% solution.
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Algebra.Com's Answer #810668 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is another very fast way to solve this kind of problem mentally....

\n" ); document.write( "You are mixing 10% alcohol with 100% alcohol to get a mixture of 95% alcohol.

\n" ); document.write( "95% is 85/90 = 17/18 of the way from 10% to 100%. (Picture the three percentages 10, 95, and 100 on a number line, if it helps. From 10 to 95 is a difference of 85; from 10 to 100 is a difference of 90; 85/90 = 17/18.)

\n" ); document.write( "That means 17/18 of the mixture has to be the 100% alcohol, which means 1/18 of the mixture is the 15mL of 10% alcohol.

\n" ); document.write( "So the amount of 100% alcohol is 17*15mL = 255mL.

\n" ); document.write( "ANSWER: 255mL

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