Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5?

A.

1 : 7

B.

2 : 9

C.

7 : 9

D.

3 : 8

• The quantities of spirit in the mixture : 5/7,7/13
  The quantities of water in the mixture : 2/7, 6/13
  now, let the ratio in which these mixtures b mixed be x and y.
  the ratio of spirit and mixture is 8/13.
  the ratio of water and mixture is 5/13.
  now we add n equate the spirit quantity
  5x/7 + 7y/13 = 8/13
  and then water quantity,
  2x/7 + 6y/13 = 5/13
  by solving this, we get x:y = 7:9
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