document.write( "Question 1120241: You have 6 liters of pineapple juice blend that is 50% pineapple juice. How many liters of pineapple juice need to be added to make blend that is 75% pineapple juice?\r
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Algebra.Com's Answer #735904 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "In 6 liters of the 50% juice you have exactly 3 liters of the pure juice.\r\n" );
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document.write( "You add \"x\" liters of the pure juice to it.\r\n" );
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document.write( "Then you have  (3+x) liters of the pure juice in the mixture, and the total volume of the new mixture is  (6+x).\r\n" );
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document.write( "You want\r\n" );
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document.write( "     = .        ( <<<---===   = 0.75 = 75% )\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "     4*(3+x) = 3*(6+x)\r\n" );
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document.write( "     12 + 4x = 18 + 3x\r\n" );
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document.write( "     4x - 3x = 18 - 12\r\n" );
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document.write( "     x = 6.\r\n" );
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document.write( "Answer.  You need to add 6 liters of the pure pineapple juice.\r\n" );
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document.write( "Check.   After adding, you will have 3 + 6 = 9 liters of the pure juice and the total volume of  6 + 6 = 12 liters,\r\n" );
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document.write( "         which gives you the concentration of the new blend of   = , exactly what you want / (what you need).\r\n" );
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