document.write( "Question 1207794: A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?\r
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document.write( "24 + x(0.15) + 0.40(x + 60) = 0.25(60)\r
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document.write( "Is this equation correct? \n" );
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Algebra.Com's Answer #845888 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A laboratory has 60 cubic centimeters (cm^3) of a solution that is 40% HCl acid. \n" ); document.write( "(a) How many cubic centimeters of a 15% solution of HCl acid should be mixed with \n" ); document.write( "the 60 cm^3 of 40% acid to obtain a solution of 25% HCl? \n" ); document.write( "(b) How much of the 25% solution is there? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Your equation is incorrect.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the volume of the 15% solution to add, in cubic centimeters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The volume of the pure HCl in 60 cm^3 of the 40% HCl acid is 0.4*60 = 24 cm^3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The volume of the final solution is (60+x) cm^3,\r\n" ); document.write( "\r\n" ); document.write( "and the volume of the pure HCl acid in (60+x) cm^3 of the final 25% HCl acid is 0.25*(60+x) cm^3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We make the setup equation by equating the volumes of pure HCl acid in \r\n" ); document.write( "ingredients and in final mixture\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.4*60 + 0.15*x = 0.25*(60+x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is a proper setup equation.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You can take it and continue your solution from this point to find x.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "At this point, I completed my explanation on how to make a proper setup equation for this problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem for two ingredients. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is entire bunch of introductory lessons covering various types of mixture problems for two ingredients\r \n" ); document.write( "\n" ); document.write( " - Mixture problems\r \n" ); document.write( "\n" ); document.write( " - More Mixture problems\r \n" ); document.write( "\n" ); document.write( " - Solving typical word problems on mixtures for solutions \r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for antifreeze solutions \r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like candies, dried fruits\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for dry substances like soil and sand\r \n" ); document.write( "\n" ); document.write( " - Word problems on mixtures for alloys \r \n" ); document.write( "\n" ); document.write( " - Typical word problems on mixtures from the archive\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions, \n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |