Question

A tank is 4/5 full of water.After drawing off 190 litres of water it is just 1/6 full.What is the capacity of the tank?

Answer 1

Let's convert the fractions to the same denominator

$\frac{4}{5} = \frac{24}{30}$
$\frac{1}{6} = \frac{5}{30}$

this means that when 190 liters, or 19/30 of the water was drawn off, there was 1/6 left.

let's create an equation and solve for x. we know that 190 is equal to 19/30 of the the tank. what about 1/30? we nee to divide each side by 19 to find out.

190/10 would be 19. this means that 1/30 of the tank is 19 liters.

to find the full tank, or 30/30 of the tank, multiply 19 by by 30, to get 570.

the full capacity of the tank is 570 liters

hope this helped!

p.s. can i have brainliest?