SOLUTION: I have 6qts of juice which is 30% and I need to make it to be 40%. I am using 100% juice to get it there How much do I need?

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Question 898309: I have 6qts of juice which is 30% and I need to make it to be 40%. I am using 100% juice to get it there How much do I need?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.3%2A6+=+1.8+ quarts of pure juice
Let +x+ = quarts of !00% pure juice
to be added
---------------
+%28+1.8+%2B+x+%29+%2F+%28+6+%2B+x+%29+=+.4+
+1.8+%2B+x+=+.4%2A%28+6+%2B+x+%29+
+1.8+%2B+x+=+2.4+%2B+.4x+
+.6x+=+.6+
+x+=+1+
----------
You need 1 quart of 100% pure juice
check:
+%28+1.8+%2B+x+%29+%2F+%28+6+%2B+x+%29+=+.4+
+%28+1.8+%2B+1+%29+%2F+%28+6+%2B+1+%29+=+.4+
+2.8+%2F+7+=+.4+
+2.8+=+2.8+
OK