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IMO D

=> 5/7 (X) + 7/13 (Y) = 8/13 ( X+Y)

Solving for X/Y , we get 7/9
will you please explain in detail
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Harsh9676
IMO D

=> 5/7 (X) + 7/13 (Y) = 8/13 ( X+Y)

Solving for X/Y , we get 7/9
will you please explain in detail

Sure. Happy to help.

A ratio reflects a part to part relation. In this case , spirit to water.

We can get the portion of total for any one entity in the ratio by additing the ratios in the denominator.
Volume of spirit in vessel A is 5/(5+2) *x = 5/7X. .......(1)

Volume of spirit in vessel B is 7/7+6 * Y = 7/13 Y ......(2)

Volume of spirit in Final solution is 8/8+5 *(X+Y) .....(3)

1 +2 = 3

Solve for X/Y

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IMO D

=> 5/7 (X) + 7/13 (Y) = 8/13 ( X+Y)

Solving for X/Y , we get 7/9
will you please explain in detail


What will be make up of the final solution ? How much spirit it will have ?

Assuming final solution is X litres, the amount of spirit in it has to be (8/3)(X).

That much spirit has to come from A and B. Assuming "a" litres of Solution A is used and "b" litres of Solution B is used.

The spirit quantity equation will be

(8/3)(X) = (5/7)(a) + (7/13)(b)

Obviously, X = a+b

Therefore,
(8/13)(a+b) = (5/7)(a) + (7/13)(b)

(8a-b)/(13) = (5a)/7

13 and 7 are factors of 91.

Therefore we can eleminate denominators by making them 91.

56a-7b = 65a
9a+7b = 0

a/b = 7/9

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