SOLUTION: How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution contains 5% juice? fill in the table: What is the

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Question 885060: How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution contains 5% juice?
fill in the table:
What is the amount of juice in the original solution?
What is the original amount of solution in gallons?
How much juice is added?
How much total solution is added?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = gallons of pure water to be added
+.15%2A10+=+1.5+ = gallons of juice in +10+
gallons of solution
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+1.5+%2F+%28+10+%2B+w+%29+=+.05+
+1.5+=+.05%2A%28+10+%2B+w+%29+
+1.5+=+.5+%2B+.05w+
+.05w+=+1+
+w+=+20+
20 gallons of water must be added
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(1) What is the amount of juice in the original solution?
1.5 gallons of juice
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(2) What is the original amount of solution in gallons?
10 gallons
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(3) How much juice is added?
none
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(4) How much total solution is added?
10 gallons ( all water )