document.write( "Question 1184118: How much of a 60% orange juice drink must be mixed with 9 gallons of a 40% orange juice drink to obtain a mixture that is 50% orange juice?\r
\n" );
document.write( "\n" );
document.write( "The amount of 60% orange juice drink is x gallons.
\n" );
document.write( "(Type an integer or a decimal.)\r
\n" );
document.write( "\n" );
document.write( "Please help me find \"x\" thank you
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #814659 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "How much of a(n) 60% orange juice drink must be mixed with 9 gallons of a 40% orange juice drink \n" ); document.write( "to obtain a mixture that is 50% orange juice? \n" ); document.write( "The amount of 60% orange juice drink is x gallons. \n" ); document.write( "(Type an integer or a decimal.) \n" ); document.write( "Please help me find \"x\" thank you \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "If the amount of the 60% juice is x gallons, the the total volume of the final mixture is (x+9) gallons.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "x gallons of the 60% juica contain 0.6x gallons of the pure juice.\r\n" ); document.write( "\r\n" ); document.write( "9 gallons of the 40% juica contain 0.4*9 gallons of the pure juice.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The final mixture should contain 0.5(x+9) gallons of the pure juice.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now you write equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.6x + 0.4*9 = 0.5(x+9),\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "saying that the total of pure juice in ingredients is the same as it is in the final mixture.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +--------------------------------------------------------------+\r\n" ); document.write( " | As soon as you get this equation, the setup is complete, |\r\n" ); document.write( " | and now your task is to solve it. |\r\n" ); document.write( " +--------------------------------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.6x - 0.5x = 0.5*9 - 0.4*9\r\n" ); document.write( "\r\n" ); document.write( " 0.1x = 0.9\r\n" ); document.write( "\r\n" ); document.write( " x = 0.9/0.1 = 9.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 9 gallons of the 60% juice must be mixed.\r\n" ); document.write( "\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( " \n" ); document.write( " |