Respuesta :
Answer:
The Difference between the amounts of water left in each bottle is [tex]\dfrac{1}{21}[/tex] .
Step-by-step explanation:
Given as :
The quantity of water drink by friend = [tex]\dfrac{2}{3}[/tex] 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 - [tex]\dfrac{2}{3}[/tex]
Or, x = [tex]\dfrac{3 - 2}{3}[/tex]
∴ x = [tex]\dfrac{1}{3}[/tex]
Again
The quantity of water drink by me = [tex]\dfrac{5}{7}[/tex] 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 - [tex]\dfrac{5}{7}[/tex]
Or, y = [tex]\dfrac{7 - 5}{7}[/tex]
∴ y = [tex]\dfrac{2}{7}[/tex]
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 = [tex]\dfrac{1}{3}[/tex] - [tex]\dfrac{2}{7}[/tex]
Taking LCM
Difference between the amounts of water left in each bottle = [tex]\dfrac{7 - 6}{21}[/tex]
Or, Difference between the amounts of water left in each bottle = [tex]\dfrac{1}{21}[/tex]
Hence, The Difference between the amounts of water left in each bottle is [tex]\dfrac{1}{21}[/tex] . Answer
