   # Find the initial quantity of sugar solution in the given mixture (in litres).

10 views

A mixture contains sugar solution and coloured water in the ratio 5 : 8.
If 22 litre of coloured water is added to the mixture, the ratio becomes 3 : 7.
Find the initial quantity of sugar solution in the given mixture (in litres). posted 5 days ago

(5x + 8x) + 22 = (3y + 7y)
13x + 22 = 10y
5x = 3y (The new mixture has only coloured water added to it)
y = (5/3)x
x = 6
Therefore the Initial sugar solution quantity is
5x = 5 × 6 = 30 litres. answer 5 days ago

Similar Puzzles

A mixture contains sugar solution and coloured water in the ratio 7 : 9.
If 13 litres of coloured water is added to the mixture, the ratio becomes 4 : 7.
Find the initial quantity of sugar solution in the given mixture (in litres).

+1 vote

A mixture contains sugar solution and coloured water in the ratio 4 : 3.
If 14 litres of coloured water is added to the mixture, the ratio becomes 2 : 5.
Find the initial quantity of sugar solution in the given mixture (in litres)?

+1 vote

A mixture contains sugar solution and coloured water in the ratio 3 : 5.
If 16 litres of coloured water is added to the mixture, the ratio becomes 4 : 7.
Find the initial quantity of coloured water in the given mixture ( in litres ).