document.write( "Question 1094062: How many gallons of a fruit drink that is 50% real juice must be mixed with a fruit drink that is 20% real juice to obtain 12 gallons of a fruit drink that is 40% real juice?\r
\n" ); document.write( "\n" ); document.write( "I have attempted to make a chart as follows, but I'm not sure I have the numbers in the correct spots. Ignore the lines in between numbers, that's just to separate the different parts of the chart.\r
\n" ); document.write( "\n" ); document.write( "x | .50 | .50x
\n" ); document.write( "12 | .40 | .40(12)
\n" ); document.write( "x+12 | .20 | .20(x+12) \n" ); document.write( "

Algebra.Com's Answer #708668 by MathTherapy(10552) $\"\"$ $\"About$

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How many gallons of a fruit drink that is 50% real juice must be mixed with a fruit drink that is 20% real juice to obtain 12 gallons of a fruit drink that is 40% real juice?\r
\n" ); document.write( "\n" ); document.write( "I have attempted to make a chart as follows, but I'm not sure I have the numbers in the correct spots. Ignore the lines in between numbers, that's just to separate the different parts of the chart.\r
\n" ); document.write( "\n" ); document.write( "x | .50 | .50x
\n" ); document.write( "12 | .40 | .40(12)
\n" ); document.write( "x+12 | .20 | .20(x+12)
\n" ); document.write( "

With x being the amount of 50% real juice, the amount of 20% real juice will be 12 - x, since the total in the final mixture is 12 gallons. We then get:
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document.write( "     x |  .50  |  .50x
\n" );
document.write( "12 - x |  .20  |  .20(12 - x)
\n" );
document.write( "  12   |  .40  |  .40(12)
\n" );
document.write( "Do you see now how it should be set up?
\n" );
document.write( "You then use the 3rd column: .5x + .2(12 - x) = .4(12) to solve.
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document.write( "Solve that for x, the amount of 50% real juice and you should get 8 gallons. \n" );
document.write( "

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