In two vessels A and B,milk and water are in the ratio of 4:3 and 3:5 respectively. The ratio in which these are to be mixed to obtain new mixture which contains half milk and half water
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Answer:
Amount from Vessel A : Amount from Vessel B = 7 : 4
Step-by-step explanation:
Let a be the quantity from vessel A used, and b the quantity from vessel B.
The amount of milk from vessel A is 4a/7 and the amount of water is 3a/7.
The amount of milk from vessel B is 3b/8 and the amount of water from vessel B is 5b/8.
Total milk = total water
=> 4a/7 + 3b/8 = 3a/7 + 5b/8
=> a/7 = 2b/8
=> a/7 = b/4
=> a/b = 7/4
=> a : b = 7 : 4
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