SOLUTION: Hi tank x and tank y were completely filled with water. 1/5 of the volume of water in tank x and 1/3 of the volume of water in tank y were equal to 350ml. When one fifth of the wa

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Question 1122442: Hi
tank x and tank y were completely filled with water. 1/5 of the volume of water in tank x and 1/3 of the volume of water in tank y were equal to 350ml. When one fifth of the water in tank x was poured out the total volume in both tanks was 1200ml.
Find the volume of each tank.
thanks
Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the condition, you have these two equations in 2 unknowns


%281%2F5%29x + %281%2F3%29y = 350.      (1)

%284%2F5%29x + y = 1200.        (2)


Multiply eq(1) by 4 (both sides).  Keep equation (2) as is.  You will get


%284%2F5%29x + %284%2F3%29y = 1400.     (1')

%284%2F5%29x + y = 1200.        (2')


Now subtract eq(2') from eq(1'). You will get


         %281%2F3%29y = 200,


which implies  y = 600.  


Then from (2)   4%2F5%29x = 1200 - 600 = 600;  hence.  x = %28600%2A5%29%2F4 = 750.


Answer.  Tanker X volume is  750 mL.  Tanker y volume is  600 mL.

Solved.

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I used the  Elimination  method to solve the system of equations.

So,  on the way you learned on how the  Elimination method works.