SOLUTION: Hi one tank holds 300litres more than another. If the smaller is 2/3 full it holds as much ax the larger when it is half full. What is the capacity of each. thanks

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi one tank holds 300litres more than another. If the smaller is 2/3 full it holds as much ax the larger when it is half full. What is the capacity of each. thanks      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1090938: Hi
one tank holds 300litres more than another. If the smaller is 2/3 full it holds as much ax the larger when it is half full. What is the capacity of each.
thanks
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hi
one tank holds 300litres more than another. If the smaller is 2/3 full it holds as much ax the larger when it is half full.
What is the capacity of each.
thanks
~~~~~~~~~~~~~~~~~~

It is not clear how the first sentence correlates to / (is connected with) the second sentence.

Also, it is not clear how the second sentence correlates to / (is connected with) the first sentence.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
one tank holds 300litres more than another. If the smaller is 2/3 full it holds as much ax the larger when it is half full. What is the capacity of each.
thanks




SOLUTION:

Let capacity of smaller tank be S

Then capacity of larger tank = S + 300

At 2%2F3 capacity, smaller tank will have: matrix%281%2C5%2C+%282%2F3%29%2C+of%2C+S%2C+or%2C+2S%2F3%29

At 1%2F2 capacity, larger tank will have: matrix%281%2C5%2C+%281%2F2%29%2C+of%2C+S+%2B+300%2C+or%2C+%28S+%2B+300%29%2F2%29

Since the above amounts are equal, we get: 2S%2F3+=+%28S+%2B+300%29%2F2

2(2S) = 3(S + 300) ------- Cross-multiplying

4S = 3S + 900

S, or capacity of smaller tank = highlight_green%28matrix%281%2C2%2C+900%2C+L%29%29

Capacity of larger tank =