Question

Vessel has a 20 l of mixture of milk and water having 75% milk. vessel b has x litres of a mixture of milk and water having 60% milk. the contents of the vessel are mixed to form a mixture havinv 66% milk. find x.

Answer 1

Therefore the value of x is 30

Answer 2

Answer: The value of x is 30 liters.

Step-by-step explanation:

Since we have given that

Quantity of mixture of milk and water in Vessel A= 20 liters

Percentage of milk = 75%

Let the x liters of mixture of milk and water in vessel B.

Percentage of milk = 60%

In the mixture there is 66% of milk.

We would use "Mixture and Allegation":

           Vessel A                         Vessel B

               75%                                   60%

                                 66%

-------------------------------------------------------------------

         (66-60)%         :              (75-66)%

              6%              :                  9%

Ratio of milk and water in the mixture is 6: 9 = 2 : 3

So, the total quantity of mixture is given by

$\dfrac{2}{5}y=20\\\\y=\dfrac{20\times 5}{2}=50$

So the value of x would be

$x=\dfrac{3}{5}\times 50=30\ liters$

Hence, the value of x is 30 liters.