Math, asked by sahoorashmi1956, 9 months ago

two vessels a and b contain equal quantity of a solution of milk and water. the concentration of milk is same in both A & B. If 8 ltrs of solution of vessel A replaced with pure milk, then the concentration of milk in vessel A becomes twice of what it was initially. If 16 ltrs of solution of vessel B replaced with pure milk, then find the ratio of the final concentration of milk in vessel B to the initial concentration of milk in B?


amitnrw: 3:1

Answers

Answered by amitnrw
1

Given : two vessels a and b contain equal quantity of a solution of milk and water. the concentration of milk is same in both A & B . If 8 ltrs of solution of vessel A replaced with pure milk, then the concentration of milk in vessel A becomes twice of what it was initially

To find : If 16 ltrs of solution of vessel B replaced with pure milk, then find the ratio of the final concentration of milk in vessel B to the initial concentration of milk in B

Solution:

Let say Milk   in Vessel A & B = M

& Total Solution = T

as Quantity & concentration are same

Concentration of Milk = M/T

8 ltrs of solution of vessel A replaced with pure milk,

=> Milk now   =  M  -  8M /T   + 8

concentration of milk  becomes twice of what it was initially

=> Concentration of Milk = 2M/T

=>  Milk = 2M

=>   M  -  8M /T   + 8 = 2M

=> 8 - 8M/T = M

=>  8T - 8M = MT

=> T(8 - M) = 8M

=> T = 8M / (8 - M)

Now 16 litre Solution in replaced with pure milk

Hence Milk  =  M  - (16M/T)   + 16

=  M  - (16M/(8M/(8 - M))) + 16

=  M  - 2(8 - M)  + 16

= M - 16 + 2M + 16

= 3M

ratio of the final concentration of milk in vessel B to the initial concentration of milk in B

= 3M : M

=  3 : 1

Ratio of the final concentration of milk in vessel B to the initial concentration of milk in B  3 : 1

Learn more:

In what ratio should a 70% MILK solution to be mixed with a 20 ...

https://brainly.in/question/10586686

There was a solution of “Heaven Hill” and water in the ratio 7:9. The ...

https://brainly.in/question/12022045

A mineral contains a cubic and spherical cavity. The length of the ...

https://brainly.in/question/9063718

Similar questions