Vessel-a and vessel-b contains mixture of milk and water in the ratio of 2 : 3 and 5 : 3 respectively. when 50% mixture from vessel-a and 40% mixture from vessel-b taken out and mixed together, then the resulting mixture contains 36 liters of water and 36 liters of milk. find ratio of quantity of water in vessel-a to quantity of water in vessel-b?
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Answer:
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Step-by-step explanation:
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. Let ratio of Vessel A=x and Vessel B=y. 20 litres of milk contains 20% of water.
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8:5
Solution:
Vessel A ratio of milk: water = 2:3
Vessel B ratio of milk: water = 5:3
To make it proportional to each other cross multiply by their sum
then
Vessel A milk : water = 16x : 24x = 40x
Vessel B milk : water = 25x : 15x = 40x
ratio of water in A : B = 24x : 15x = 8: 5
Check
50 % of A : 40 % of B is taken out= 20x +16 x = 36x
resulting mixture contains 36 liters of water and 36 liters of milk. Total = 64 litre
36 x = 64
x = 2
Initial quantity of water content in A : B = 24x : 15x = 48 : 30 = 8:5
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