A vessel initially contains $1000$ liters of acid A and $500$ liters of acid B. First, x x x liters of the mixture is removed from the vessel, and the...

Question

A vessel initially contains $1000$ liters of acid A and $500$ liters of acid B. First, xx liters of the mixture is removed from the vessel, and then yy liters of acid B is added to the remaining mixture. After this, zz liters of the new mixture is again taken out. Determine the possible values of xx, yy, and zz such that the final quantities of acid A and acid B in the vessel are equal.

Options

A.

(x,y,z)=(300,400,200)(x, y, z) = (300, 400, 200)

B.

(x,y,z)=(100,500,300)(x, y, z) = (100, 500, 300)

C.

(x,y,z)=(200,500,100)(x, y, z) = (200, 500, 100)

D.

(x,y,z)=(100,200,700)(x, y, z) = (100, 200, 700)

E.

(x,y,z)=(500,400,300)(x, y, z) = (500, 400, 300)

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