SOLUTION: How much water should be added to 77 gallons of a 37 percent salt solution to get a 30 percent salt solution?

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Question 884538: How much water should be added to 77 gallons of a 37 percent salt solution to get a 30 percent salt solution?
Found 2 solutions by josmiceli, geetha_rama:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of water to be added
+.37%2A77+=+28.49+ gallons of salt in
37% solution
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+28.49+%2F+%28+x+%2B+77+%29+=+.3+
+28.49+=+.3%2A%28+x+%2B+77+%29+
+28.49+=+.3x+%2B+23.1+
+.3x+=+5.39+
+x+=+17.9667+ gallons of water
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Answer by geetha_rama(94) About Me  (Show Source):
You can put this solution on YOUR website!
Total gallons of solution = 77
% of salt = %2837%2F100%29%2A77 = 28.49 gallons of salt solution
% of water = %2863%2F100%29%2A77 = 48.51 gallons of water
To find how much of water to be added to make this solution as 30% salt solution
Let x be the no: of gallons of water to be added
30% of salt solution
no: of gallons of salt = 30/100(77+x)
28.49+=+%2830%2F100%29%2A%2877%2Bx%29
2849+=+30%2A%2877%2Bx%29
2849+=+2310+%2B+30x+
solving the above we get
x = 17.96 gallons
17.96 gallons of water need to be added to make this a 30% salt solution