Question

There are two containers X and Y containing 40 litres each of liquid A and liquid B respectively. 10 litres of liquid A from X is taken and poured into Y, then 5 litres of the mixture from Y is taken and poured in X. What is the ratio of liquid B in X and Y?​

Answer 1

Answer:

In container X

ratio of A:B

9:1

In container Y

ratio of A:B

1:4

Answer 2

Given: There are two containers X and Y containing 40 litres each of liquid A and liquid B respectively. 10 litres of liquid A from X is taken and poured into Y, then 5 litres of the mixture from Y is taken and poured in X.

To find: The ratio of liquid B in X and Y.

Solution: The ratio of liquid B in X and Y is 1:15.

According to the question, first, 4 litres of liquid A is poured into Y. Thus, the liquids in X and Y are

$X = 30 (A)$

$Y = 40(B) + 10(A)$

Then, 5 litres of the mixture of A and B is taken from the container Y and is put into container X. Now, the liquids in X and Y are

$X = 32.5(A) + 2.5(B)$

$Y = 37.5(B) + 7.5(A)$

So, there are 2.5 litres of liquid B in X and there are 37.5 litres of liquid B in Y. Thus, the ratio is

$\frac{X}{Y} = \frac{2.5}{37.5}$

   $=\frac{1}{15}$

   $= 1: 15$

Therefore, the ratio of liquid B in X and Y is 1:15.