SOLUTION: Santa's fish tank contains 200 gallons of sea water. The sea water is 7.5% salt. How many gallons of fresh water must be added to the tank so that the mixture only contains 7% salt

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Santa's fish tank contains 200 gallons of sea water. The sea water is 7.5% salt. How many gallons of fresh water must be added to the tank so that the mixture only contains 7% salt      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 389939: Santa's fish tank contains 200 gallons of sea water. The sea water is 7.5% salt. How many gallons of fresh water must be added to the tank so that the mixture only contains 7% salt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = gallons of fresh water to be added
In words:
(salt in sea water already present)/(gallons of sea water + fresh water added) = 7%
--------------
given:
gallons of sea water = 200
gallons of salt in sea water = .075%2A200+=+15
---------------
+15%2F%28200+%2B+x%29+=+.07
15+=+.07%2A%28200+%2B+x%29
15+=+14+%2B+.07x
.07x+=+1
x+=+14.285 gallons
14.285 gallons of fresh water should be added
check:
15%2F214.285+=+.07
.07+=+.07