document.write( "Question 1101792: Mr. Grey cloud works in the lab at a pharmaceutical company. He needs to make 24 liters of a 41% acid solution to test a new product. His supplier only ships a 39% and a 42% solution. Mr. Greycloud decides to make the 41% solution by mixing the 39% solution with the 42% solution. How much of the 39% solution will Mr. Greycloud need to use?\r
\n" ); document.write( "\n" ); document.write( "A. 9 L
\n" ); document.write( "B. 24 L
\n" ); document.write( "C. 8 L
\n" ); document.write( "D. 16 L \n" ); document.write( "

Algebra.Com's Answer #716498 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The solution by the other tutor is exactly right -- and it uses the BEST and EASIEST method there is for solving mixture problems -- the method of alligation.

\n" ); document.write( "The calculations as he shows them look complicated, so let me show you a quick way of thinking of what those calculations are doing. If you can think of mixture problems this way, you will solve them very quickly and with little effort.\n" ); document.write( "So here is how to think of this specific problem:

\n" ); document.write( "\"41 is 2/3 of the way from 39 to 42; therefore 2/3 of the mixture must be the 42% solution\"

\n" ); document.write( "That one piece of logical analysis takes care of 90% of the work in solving the problem; from there the rest is easy. The amount of 42% solution is 2/3 of the total 24 liters, or 16 liters; the rest -- 1/3 of 24 liters, or 8 liters -- is the 39% solution. \n" ); document.write( "

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