Question

There are two cups, one containing orange juice and one containing an equal amount of lemonade. One teaspoon of the orange juice is taken and mixed with the lemonade. Then a teaspoon of this mixture is mixed back into the orange juice. Is there more lemonade in the orange juice or more orange juice in the lemonade?

• A. More orange juice in the lemonade
• B. More lemonade in the orange juice
• C. Equal amount of each juice between the two cups
• D. None of the above

Answer 1

The Correct Option is C

To solve this problem, we start by understanding the key action: transferring a teaspoon of liquid between two cups and then doing a reverse transfer. Let's label Cup A as the one initially containing orange juice and Cup B as the one containing lemonade.

1. Transfer 1 teaspoon of orange juice from Cup A to Cup B. Now, Cup B contains a mix of mostly lemonade but with some orange juice.

2. Stir the mixture in Cup B, ensuring a uniform blend. Take 1 teaspoon of this mixture and transfer it back to Cup A.

The main question is whether there's more of one type of juice in the other cup. Focus on the net transfer: When a teaspoon of the mixture is put back into Cup A, it contains the same proportion of orange juice and lemonade as the mix in Cup B.

Thus, the amount of orange juice taken from Cup A and added back in form of a mixed teaspoon returns the orange juice content to the start, just in new distribution. Similarly, a matching amount of lemonade is transferred back to Cup B through the mixed teaspoon.

Conclusively, both cups contain equal amounts of orange juice and lemonade transfers. The remaining orange juice in the lemonade equals the lemonade in the orange juice. Therefore, the answer is:

Equal amount of each juice between the two cups