Math, asked by krushnapatil2113, 5 months ago

55. A mixture contains milk and water in the ratio of 5 : 1, on adding 5 litres of water, the ratio of
milk and water becomes 5:2. The quantity of milk in the original mixture is
a) 25 litres
b) 22 litres
c) 22.75 litres
32 50 litres​

Answers

Answered by akanshasharma181
1

Answer:

Step-by-step explanation:

Given:

The mixture contains milk and water in the ratio 5:1.

On adding 5 litres of water, the ratio of milk to water becomes 5:2.

To find:

The quantity of milk in the original mixture.

Solution:

The mixture contains milk and water in the ratio 5:1.

Let, the common multiple of the ratio be, 'l'.

∴ The amount of milk = (5×l)

                                  = 5l.

∴The amount of water in the mixture = (1×l)

                                                            = l

On adding 5 liters of water in the mixture, the amount of water becomes in the mixture_

(l+5)

= l+5.

On adding 5 litres of water, the ratio of milk to water becomes 5:2 .

∴ According to the problem:

5l : (l+5) = 5:2

or, (5l ×2) = 5(l+5)

or, 10l = 5l + 25

or, (10l-5l) = 25

or, 5l = 25

or, l = (25 ÷5)

or, l = 5 liters.

∴ The amount of milk in the original mixture was _

(5×5)

= 25 liters.

Answer:

           25 liters milk was there in the original mixture.

Here goes ur answer.Hope the same solves ur query.

Answered by Aryan0123
10

In the original mixture the ratio of milk to water is 5 : 1

This means that the quantity of milk is 5 times that of water

If water is x, then milk would be 5x

According to the question,

  • 5 Litres of water is added to milk
  • The new ratio becomes 5 : 2

 \sf{ \frac{5x}{x + 5} =  \frac{5}{2}  } \\  \\ on \: cross \: multiplication \\ \\   \sf{5(x + 5) = 2(5x) } \\  \\  \implies \sf{5x + 25 = 10x} \\  \\  \implies \sf{25 = 10x - 5x} \\  \\  \implies \sf{5x = 25} \\  \\   \implies \sf{x =  \frac{25}{5} } \\  \\  \therefore \boxed{ \boxed{ \bf{x = 5}}}

 \small{ \sf{quantity \: of \: milk \: in \: original \: mixture = 5x}} \\  \\  \implies{ \sf{quantity \: of \: milk \: in \: original \: mixture =5 \times 5}} \\  = \boxed{ 25 \: litres}

Quantity of milk = 25 Litres

Similar questions