A tank of water is 5/9 full of water. If a 6 3/4 liters of water is poured it will be 2/3 full. What is the capacity of the tank?

1 Answer
Tony B
Oct 3, 2016

As the question uses fractions the answer should be in fractions.

The total volume of the tank is 60 3/4" litres"

color(blue)("This solution is using algebra but it is in disguise")

Explanation:

The question is not complete in its description, in that it does not state if the water is removed or added.

The change is " "5/9 " to "2/3

which is the same as " "5/9" to "6/9

As 6/9 is more than the starting point then it is added.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The difference is 1/9 as a consequence of adding 6 3/4 litres

So color(brown)(1/9xx"tank"=6 3/4) litres

Multiply both sides by color(blue)( 9)

color(brown)(color(blue)(9xx)1/9xx"tank"=color(blue)(9xx)6 3/4)

" "1xx"tank"= 9xx27/4" " =" " 60 3/4" litres"

Related questions
See all questions in Least Common Multiple
Impact of this question
3034 views around the world
You can reuse this answer
Creative Commons License