document.write( "Question 237399: An advertisement for grape drink claims that the drink contains 10% grape juice. How much pure grape juice would have to be added to 5 quarts of the drink to obtain a mixture containing 40% grape juice? \n" ); document.write( "

Algebra.Com's Answer #174580 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(quarts of pure grape juice at end)/(total quarts of drink at end) = 40%
\n" ); document.write( "given:
\n" ); document.write( "Let $\"g\"$ = quarts of pure grape juice to be added
\n" ); document.write( "In $\"5\"$ quarts of drink, I have
\n" ); document.write( " $\".1%2A5+=+.5\"$ quarts pure grape juice
\n" ); document.write( "-----------------------------------------
\n" ); document.write( " $\"%28.5+%2B+g%29+%2F+%285+%2B+g%29+=+.4\"$
\n" ); document.write( " $\".5+%2B+g+=+.4%2A%285+%2B+g%29\"$
\n" ); document.write( " $\".5+%2B+g+=+2+%2B+.4g\"$
\n" ); document.write( " $\"g+-+.4g+=+2+-+.5\"$
\n" ); document.write( " $\".6g+=+1.5\"$
\n" ); document.write( " $\"g+=+2.5\"$
\n" ); document.write( "2.5 quarts of pure grape drink must be added
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.5+%2B+g%29+%2F+%285+%2B+g%29+=+.4\"$
\n" ); document.write( " $\"%28.5+%2B+2.5%29+%2F+%285+%2B+2.5%29+=+.4\"$
\n" ); document.write( " $\"3%2F7.5+=+.4\"$
\n" ); document.write( " $\"3+=+.4%2A7.5\"$
\n" ); document.write( " $\"3+=+3\"$
\n" ); document.write( "OK \n" ); document.write( "

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