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A container is filled with 72 litres of orange juice.
Twenty-four litres of orange juice are removed and the container is refilled with lemon juice.
The contents of the mixture are thoroughly mixed and 24 litres of the mixture is removed and
the container is again refilled with lemon juice. What is the ratio of orange juice to lemon juice in the final mixture?
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1. The container is filled with 72 liters of orange juice.
2. 24 liters of orange juice are removed.
72 - 24 = 48 liters of orange juice remained.
3. Then 24 liters of lemon juice refilled.
Now we have 72 liters of the mixture;
of them, 48 liters of orange juice and 24 liters lemon juice, in proportion 2 parts of the O-juice to 1 part of the L-juice.
4. Next, 24 liters of the mixture removed.
Of them, 16 liters of the O-juice removed and 8 liters of the L-juice removed, in the same proportion.
5. Now we have 48-16 = 32 liters of the O-juice and 24-8 = 16 liters of the mixture.
6. Next 24 liters of the L-juice refilled.
Now we have 32 liters of the O-juice and 16+24 = 40 liters of the L-juice: in all 32 + 40 = 72 liters of the new mixture.
7. The ratio of the O-juice to L-juice in the final mixture is = .
Answer. The ratio under the question is .
Solved.