SOLUTION: A fruit drink manufacturer has a mixture of 100 litres containing w% of pure orange juice. By adding x litres of a mixture containing y% of pure orange juice, he wishes to produce

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Question 937270: A fruit drink manufacturer has a mixture of 100 litres containing w% of pure orange juice. By adding x litres of a mixture containing y% of pure orange juice, he wishes to produce a mixture containing z% of pure orange juice. Find the value of x in terms of w, y and z.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+100%2A%28+.01w+%29+=+w+ liters of pure
orange juice in w% mixture
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+x%2A%28+.01y+%29+=+.01x%2Ay+ liter of pure
orange juice in y% mixture
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+%28+w+%2B+.01x%2Ay+%29+%2F+%28+100+%2B+x+%29+=+.01z+
+w+%2B+.01x%2Ay+=+.01z%2A%28+100+%2B+x+%29+
+w+%2B+.01x%2Ay+=+z+%2B+x%2Az+
+x%2Az+-+.01x%2Ay+=+w+-+z+
+x%2A%28+z+-+.01y+%29+=+w+-+z+
+x+=+%28+w+-+z+%29+%2F+%28+z+-+.01y+%29+