There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?
Select the correct option
A) 9:6 B) 3:2 C) 118:126 D) 122:193 E) 201:132
4:3=&gt;4x+3x=7x   2:14 +3= 
<gadget id="calculator">4 +3</gadget>
<output>7</output>
7x   2:1=&gt;2y+1y=3y   3:22 +1= 
<gadget id="calculator">2 +1</gadget>
<output>3</output>
3y   3:2=&gt;3z+2z=5z   7x3 +2= 
<gadget id="calculator">3 +2</gadget>
<output>5</output>
5z   7x=3y=5z   Take LCM of 7,3,5=105   Or simply;   x=3*5= 
<gadget id="calculator">3*5</gadget>
<output>15</output>
15   y=7*5= 
<gadget id="calculator">7*5</gadget>
<output>35</output>
35   z=3*7= 
<gadget id="calculator">3*7</gadget>
<output>21</output>
21   So,   Ratio of Water:Milk= (3x+y+2z)/(4x+2y+3z)=122/193   Ans:122:193
<result>D</result>
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?