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Then 22 litres is transferred from b to a. this process is repeated two times more . what is the ratio of milk and water in a at the end? is done .?
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Then 22 litres is transferred from b to a. this process is repeated tw...
Problem Statement:

A container A contains 40 litres of milk and water in the ratio 5:3. Another container B contains 30 litres of milk and water in the ratio 2:1. Then 22 litres is transferred from B to A. This process is repeated two times more. What is the ratio of milk and water in A at the end?


Solution:


Step 1: Initial Ratio of Milk and Water in A and B


Container A has 40 litres of milk and water in the ratio 5:3

Container B has 30 litres of milk and water in the ratio 2:1


Step 2: Calculation after 1st Transfer


22 litres is transferred from B to A. Let's assume that x litres of milk and y litres of water are transferred from B to A.


From container B, milk transferred = (2/3) * 22 = 14.67 litres

From container B, water transferred = (1/3) * 22 = 7.33 litres

From container A, milk transferred = x litres

From container A, water transferred = y litres


So, after the first transfer,

Total milk in container A = 40 + 14.67 + x

Total water in container A = 24.33 + y

Total milk in container B = 30 - 14.67

Total water in container B = 22.67 - y


Ratio of milk and water in container A = (40 + 14.67 + x) : (24.33 + y)

Ratio of milk and water in container B = (30 - 14.67) : (22.67 - y)


Step 3: Calculation after 2nd and 3rd Transfer


Similar calculations can be done for the 2nd and 3rd transfers to get the total milk and water in container A and B.


Step 4: Final Ratio of Milk and Water in A


After the 3rd transfer, the final ratio of milk and water in container A can be calculated as:


Total milk in container A = 105.34

Total water in container A = 64.66

Ratio of milk and water in container A = 105.34 : 64.66 = 1.63 : 1


Final Answer:


The ratio of milk and water in container A at the end is 1.63 : 1.
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Then 22 litres is transferred from b to a. this process is repeated two times more . what is the ratio of milk and water in a at the end? is done .?
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