SOLUTION: An advertisement for a pineapple drink claims that the drink contains 15% pineapple juice. How much pure pineapple juice would have to be added to 8 quarts of the drink to obtain a

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Question 536493: An advertisement for a pineapple drink claims that the drink contains 15% pineapple juice. How much pure pineapple juice would have to be added to 8 quarts of the drink to obtain a mixture containing 50% pineapple juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = quarts of pure pineapple juice needed
given:
+.15%2A8+=+1.2+ quarts of pure pineapple juice in 15% drink
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In words:
( quarts of pure pineapple juice ) / ( total quarts of drink ) = 50%
+%28+1.2+%2B+x+%29+%2F+%28+8+%2B+x+%29+=+.5+
+1.2+%2B+x+=+.5%2A%28+8+%2B+x+%29+
+1.2+%2B+x+=+4+%2B+.5x+
+.5x+=+4+-+1.2+
+.5x+=+2.8+
+x+=+2.8%2F.5+
+x+=+5.6+
5.6 quarts of pure pineapple juice are needed
check:
+%28+1.2+%2B+5.6+%29+%2F+%28+8+%2B+5.6+%29+=+.5+
+6.8+%2F+13.6+=+.5+
+6.8+=+.5%2A13.6+
+6.8+=+6.8+
OK