document.write( "Question 423336: A liter of orange fruit drink contains 22% orange juice. How many millimeters of orange juice must be added to produce a mixture containing 50% orange juice? \n" ); document.write( "

Algebra.Com's Answer #853211 by ikleyn(53521) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A liter of orange fruit drink contains 22% orange juice. How many millimeters of orange juice
\n" ); document.write( "must be added to produce a mixture containing 50% orange juice?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is irrelevant to the given problem, since it uses \r
\n" ); document.write( "\n" ); document.write( "        numerical values different from the given input data.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        So, I came to provide an adequate solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "As given, the liter of orange fruit drink contains 22%, or 220 mL of orange juice.\r\n" );
document.write( "\r\n" );
document.write( "Let assume that we add x milliliters of orange juice.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then we will have the total volume of 1000 + x milliliters with the (220+x) milliliters \r\n" );
document.write( "of orange juice.\r\n" );
document.write( "\r\n" );
document.write( "The concentration will be  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We want this concentration be 50%, or 0.5 as a decimal.\r\n" );
document.write( "\r\n" );
document.write( "So, our equation is\r\n" );
document.write( "\r\n" );
document.write( "     = 0.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    220 + x = 0.5 * (1000 + x),\r\n" );
document.write( "\r\n" );
document.write( "    220 + x = 500 + 0.5x,\r\n" );
document.write( "\r\n" );
document.write( "    x - 0.5x = 500 - 220,\r\n" );
document.write( "\r\n" );
document.write( "       0.5x  =    280,\r\n" );
document.write( "\r\n" );
document.write( "          x  =    280/0.5 = 560.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  560 milliliters of orange juice should be added.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );