document.write( "Question 1148983: Hi\r
\n" ); document.write( "\n" ); document.write( "there is 500g of a 8% salt solution.
\n" ); document.write( "if this is diluted with water to create a 5% salt solution, how many grams of water were added to the saline solution.\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #770327 by greenestamps(13215)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "(1) Using formal algebra....

\n" ); document.write( "(You should understand how to set up and solve mixture problems like this using a formal algebraic method.)

\n" ); document.write( "No additional salt was added; so the 8% of the original 500g needs to be 5% of the final (500+x)g:

\n" ); document.write( "\".08%28500%29+=+.05%28500%2Bx%29\"

\n" ); document.write( "You can finish the basic algebra to get the answer that way.

\n" ); document.write( "(2) Using logical reasoning....

\n" ); document.write( "If just getting the answer fast is what is important, and a formal algebraic solution is not required, then logical analysis will get you to an answer quickly.

\n" ); document.write( "(a) The final mixture percentage (5%) is 5/8 of the original percentage (8%).
\n" ); document.write( "(b) Since no salt was added, the original 500g must be 5/8 of the final mixture.
\n" ); document.write( "(c) 5/8 of the final mixture = 500g means the other 3/8 of the final mixture (the water that was added) is 300g.

\n" ); document.write( "ANSWER: 300g of water were added.

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