document.write( "Question 1122724: Joy has a solution containing 15% alcohol. How much of this solution and how much water must she use to get 3 liter(s) of a solution containing 10% alcohol? Round your answer to two decimal places off necessary. \n" ); document.write( "
Algebra.Com's Answer #738879 by ikleyn(52848)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let w be the unknown volume of water to add, in liters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the volume of the 15% solution to use is (3-w) liters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "pure alcohol + pure alcohol = total pure alcohol\r\n" ); document.write( "\r\n" ); document.write( "0.15*(3-w) + 0 = 0.1*3, or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "0.45 - 0.15w = 0.3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "0.45 - 0.3 = 0.15w\r\n" ); document.write( "\r\n" ); document.write( "0.15 = 0.15w ====> w =\r \n" ); document.write( "\n" ); document.write( "Solved.\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 problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For introductory lessons covering various types of mixture word problems see\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( " - 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( "Read them and become an expert in solution mixture word problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |