document.write( "Question 1097567: A chemical manufacturer wishes to fill an order for 700 gallons of a 24% acid solution. Solutions of 20% and 30% are in stock. How many gallons of 20% acid solution will be used in the desired mixture?\r
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document.write( "(I understand there may not be such a thing as \"24% acid solution\", et cetera. I'm just focusing on what solution needs to be used to get the number being asked for.
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document.write( "Honestly, I've seen problems like these before but just have trouble when it's worded differently. Thank you!) \n" );
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Algebra.Com's Answer #712013 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x=gallons of 20% acid \n" ); document.write( "700-x=gallons of 30% acid \n" ); document.write( "the pure acid in each is .20x+.30(700-x)=700*.24 \n" ); document.write( ".20x+210-.30x=168 \n" ); document.write( "-.10x=-42 \n" ); document.write( "x=420 gallons of 20% \n" ); document.write( "700-x=280 gallons of 30% \n" ); document.write( "The concept of pure acid is the per cent * volume \n" ); document.write( "Also \n" ); document.write( "24% is 4/10 of the way from 20 to 30, so 6/10 of the acid should be 20%. .6*700=420. \n" ); document.write( " |