
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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May 4th, 2013, 11:52 AM  #1 
Senior Member Joined: Jan 2012 Posts: 745 Thanks: 7  How much water did each tank contain originally?
A water tank A contains 3 times as much water as another water tank B. When 25 liters are poured from tank A into B, there is now twice as much water in B as in tank A. How much water did each tank contain originally? A water tank A contains 3 times as much water as another water tank B. Let the water be in tank A 3w and that in tank B be w. > When 25 liters are poured from tank A into B, there is now twice as much water in B as in tank A. 3w  25 = 2w How much water did each tank contain originally? I can solve the problem if only I understand the English or words of the problem correctly. Please can any one explain it to me? 
May 4th, 2013, 01:38 PM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: How much water did each tank contain originally? Hello, Chikis! Quote:
Code:                 3b          b  ** ** A B Code:                  b+25       3b25    ** ** A B  
May 12th, 2013, 02:44 PM  #3 
Senior Member Joined: Jan 2012 Posts: 745 Thanks: 7  Re: How much water did each tank contain originally?
I think I have no problem in obtaining 3b and b as amount of water in tank A and B respectively. So that the equation can be set like this 3b  25 = b + 25. Where the problem is now, is how to translate the statement, "there is now twice as much water in B as in tank A." From my understanding, since the amount of water in tank A is now 3b  25 and the amount of water in tank B is b + 25. Please break the words for me so that I can understand. Does twice as much water in B means 2(b + 25)? Does as in tank A, means equal to tank A i.e = 3b  25 so that you can have the equation as 2(b + 25) = 3b  25? I don't understand how you got your equation as 2(3b  25) = b + 25, instead of the way am thinking. Or could the equations 2(b + 25) = 3b  25 and 2(3b  25) = b + 25 mean the same thing? Thank you. 

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