document.write( "Question 1126501: Pure acid is to be added to a 10% acid solution to obtain 90 L of 64​% solution. What amounts of each should be​ used? How many liters of​ 100% pure acid should be used to make the​ solution? \n" ); document.write( "
Algebra.Com's Answer #742845 by greenestamps(13334)\"\" \"About 
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\n" ); document.write( "Here is a quick and easy alternative to the standard algebraic method for solving mixture problems like this, as shown by the other tutors.

\n" ); document.write( "You are adding 100% pure acid to the 10% acid; the percentage of the mixture moves from 10% towards 100%. You stop when the percentage is 64%.

\n" ); document.write( "(1) 64% is 3/5 of the way from 10% to 100%. (Do a little mental arithmetic: 100-10 = 90; 64-10 = 54; 54/90 = 3/5)
\n" ); document.write( "(2) That means 3/5 of the mixture must be the 100% pure acid you are adding.

\n" ); document.write( "3/5 of 90 L is 54 L. So 54 L of the 100% acid and 36 L of the 10% acid.
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