document.write( "Question 144478This question is from textbook
\n" );
document.write( ": How many gallons of a 12% solution must be mixed with a 20% soltion to get 10 gallons of a 14% solution? \n" );
document.write( "
Algebra.Com's Answer #105237 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How many gallons of a 12% solution must be mixed with a 20% solution to get 10 gallons of a 14% solution? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 12% solution required \n" ); document.write( ": \n" ); document.write( "The resulting total amt is to be 10 gal therefore: \n" ); document.write( "(10-x) = amt of 20% solution \n" ); document.write( ": \n" ); document.write( "we will use the decimal equiv of percent: \n" ); document.write( ": \n" ); document.write( ".12x + .20(10-x) = .14(10) \n" ); document.write( "; \n" ); document.write( ".12x + 2 - .20x = 1.4 \n" ); document.write( ": \n" ); document.write( ".12x - .20x = 1.4 - 2 \n" ); document.write( ": \n" ); document.write( "-.08x = -.6 \n" ); document.write( "x = \n" ); document.write( "x = +7.5 gal of 12% solution required \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution in the original equation (2.5 gal of the 20% solution needed) \n" ); document.write( ".12(7.5) + .2(2.5) = .14(10) \n" ); document.write( ".9 + .5 = 1.4, confirms our solution \n" ); document.write( ": \n" ); document.write( "Was this easy to understand now? \n" ); document.write( " |