SOLUTION: how much water should be mixed with an 8% plant fertilizer solution to make a half gallon of a 2% plant fertilizer solution

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: how much water should be mixed with an 8% plant fertilizer solution to make a half gallon of a 2% plant fertilizer solution      Log On


   



Question 1048731: how much water should be mixed with an 8% plant fertilizer solution to make a half gallon of a 2% plant fertilizer solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of water needed
+.5+-+x+ = gallons of the 8% solution
+.08%2A%28+.5+-+x+%29+ = gallons of fertilizer in the 8% solution
------------------------------------
+.08%2A%28+.5+-+x+%29+%2F+.5+=+.02+
+.08%2A%28+.5+-+x+%29+=+.01+
+.5+-+x+=+.125+
+x+=+.375+
3/8 gallon of water needs to be added
---------------------------------------
check:
+.08%2A%28+.5+-+x+%29+%2F+.5+=+.02+
+.08%2A%28+.5+-+.375+%29+%2F+.5+=+.02+
+%28+.08%2A.125+%29%2F.5+=+.02+
+.01+=+.5%2A.02+
+.01+=+.01+
OK