two vessels contain equal quantity of milk Two vessels contain equal quantity of milk and water in the ratio 2 ratio 3 :: 4 ratio 1 the mixture of both the vessels are mixed thoroughly, what is the ratio of milk and water in resultant mixture?
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Step-by-step explanation:
Answer=Vessel A : Vessel B:: 7:5
Ratios are 4:3 (4+3=7) and 2:3 (2+3=5). So LCM of 7, 5 is 35.
Now, for 35 liter mix.
Let M=milk,W=water
Vessel A,
M:W= 4:3 (4+3=7) means in 35 liter mix. Milk is 4*35/7=20 liter and water is 3×35/7=15 liter.
Vessel B,
M:W=2:3(2+3=5) means in 35 liter mix. Milk is 2×35/5=14 liter and water is 3×35/5=21 liter.
For Vessel C,
M:W=1:1(required)
Let ratio of Vessel A=x and Vessel B=y.
In Vessel C , both milk and water will be in equal quantity. So,
Net quantity of milk= Net quantity of water
20x+14y=15x+21y
5x=7y
x/y=7/5
So, x:y=7 :5
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