document.write( "Question 648497: To create a breakfast beverage, pineapple juice in two concentrations, 18% and 50%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 30 gallons of 18% juice is used, how many gallons of the 50% juice must be used to obtain a 40% pineapple juice solution? \n" ); document.write( "

Algebra.Com's Answer #406709 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 50% juice needed
\n" ); document.write( " $\"+.5x+\"$ = gallons of pineapple juice in 50% juice
\n" ); document.write( " $\"+.18%2A30+=+5.4+\"$ gallons of pineapple juice in 18% juice
\n" ); document.write( "---------------
\n" ); document.write( " $\"+%28+.5x+%2B+5.4+%29+%2F+%28+x+%2B+30+%29+=+.4+\"$
\n" ); document.write( " $\"+.5x+%2B+5.4+=+.4%2A%28+x+%2B+30+%29+\"$
\n" ); document.write( " $\"+.5x+%2B+5.4+=+.4x+%2B+12+\"$
\n" ); document.write( " $\"+.1x+=+12+-+5.4+\"$
\n" ); document.write( " $\"+.1x+=+6.6+\"$
\n" ); document.write( " $\"+x+=+66+\"$
\n" ); document.write( "66 gallons of 50% juice are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.5x+%2B+5.4+%29+%2F+%28+x+%2B+30+%29+=+.4+\"$
\n" ); document.write( " $\"+%28+.5%2A66+%2B+5.4+%29+%2F+%28+66+%2B+30+%29+=+.4+\"$
\n" ); document.write( " $\"+%28+33+%2B+5.4+%29+%2F+96+=+.4+\"$
\n" ); document.write( " $\"+38.4+%2F+96+=+.4+\"$
\n" ); document.write( " $\"+38.4+=+.4%2A96+\"$
\n" ); document.write( " $\"+38.4+=+38.4+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );