A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:1?

A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to
   get a new mixture containing milk and water in the ratio 3:1?

a) 5 kg     b)6.5 kg           c) 7.5 kg          d) 8 kg





















Expl : Milk in 85 kg of mix = 85* (27/34) = 135/2 kg.

    Water in it = 85-135/2 = 35/2 kg.

    Let x kg of water be added to it.

    Then, (135/2)/(35/2 + x) = 3/1;  135/(35 +2x) = 3/1;          

    105 + 6x = 135 ; 6x = 30; x = 5    

    The quantity of water to be added = 5 kg