Question

A milkman had water and milk mixture in a can with water to
milk ratio 5:7. He accidently spills 9 liters of the mixture. He then
fills the can with water equal in quantity to spilled mixture. This
makes the water to milk ratio 9:7. How much milk did the can
initially have?
​

Answer 1

Answer:21 liters

Step-by-step explanation:

Answer 2

Explanation

Approach 1 — Direct Solving

Here milk : water = 7:5

That means quality of milk be 7 or

multiple 7

Only option A i.e. 21 is multiple of 7.

You can check by putting 21 as quantity of milk

Approach 2 — By solving

Water to Milk 5: 7

Let common factor be K, so water SK liters and Milk

Now, when we remove 9 liters mixture,

capture Dup 6 -16810116

Now, 9 liter water is added,

So Water quantity SK-3.75+9 = 5K+5.25

Milk quantity 7K-5.25

capture1 Dup 5 -41156360

K = 3

Amount of milk initially = 7k = 7 × 3 = 21