Question

Your friend drinks 2/3 of a bottle of water.you drink 5/7 of a bottle of water.find the difference of the amounts of water left in each bottle

Answer 1

The Difference between the amounts of water left in each bottle is
`(1)/(21)` .

Explanation:

Given as :

The quantity of water drink by friend =
`(2)/(3)` of bottle of water

Let The left amount of water in bottle = x

i.e x = total water - fraction of drink water

Or, x = 1 -
`(2)/(3)`

Or, x =
`(3 - 2)/(3)`

∴ x =
`(1)/(3)`

Again

The quantity of water drink by me =
`(5)/(7)` of bottle of water

Let The left amount of water in bottle = y

i.e y = total water - fraction of drink water

Or, y = 1 -
`(5)/(7)`

Or, y =
`(7 - 5)/(7)`

∴ y =
`(2)/(7)`

Now,

Difference between the amounts of water left in each bottle = left amount of water in friend's bottle - left amount of water in my bottle

Or, Difference between the amounts of water left in each bottle = x - y

or, Difference between the amounts of water left in each bottle =
`(1)/(3)` -
`(2)/(7)`

Taking LCM

Difference between the amounts of water left in each bottle =
`(7 - 6)/(21)`

Or, Difference between the amounts of water left in each bottle =
`(1)/(21)`

Hence, The Difference between the amounts of water left in each bottle is
`(1)/(21)` . Answer