Question

A basin was ¼ filled with water. When 350ml of water was added, it became 3/5 full. What was the capacity of the basin? (Give your answer in mililitres)

Answer 1

(3/5 - 1/4)x = 350    where x = capacity of the basin

(7/20)x = 350

x = (350 *20) / 7  =   1000 mls Answer

Answer 2

Find the difference in fraction:
$\dfrac{3}{5} - \dfrac{1}{4} = \dfrac{3 \times 4}{5 \times 4} - \dfrac{1 \times 5}{4 \times 5} = \dfrac{12}{20} - \dfrac{5}{20} = \dfrac{7}{20}$

Equate the difference with the 350ml added:
$\dfrac{7}{20} \text { full} \longrightarrow 350 \text{ ml}$

Find Capacity:
$\text {Capacity } \longrightarrow 350 \div \dfrac{7}{20} \text{ ml}$

$\text {Capacity } \longrightarrow 350 \times \dfrac{20}{7} \text{ ml}$

$\text {Capacity } \longrightarrow 1000 \text{ ml}$

$\boxed{\boxed{\text{Capacity = 1000 ml}}}$