Discussion

Explanation:

Since Soumya was the last one to eat the cookies and she ate 3 cookies, the total number of cookies left when she entered the room = (3 × 4) = 12. This should be Soumya’s share that was left in the box uneaten. Hence, just before Soumya entered, Swetha, Sneha and Swarna would have eaten their share of 12 cookies each. Total number of cookies left when Sneha entered = (12 × 4) = 48. This in turn should have been the combined share of Sneha and Soumya (24 × 2) that was left in the box uneaten. So just before Sneha entered, Swetha and Swarna should have eaten 24 cookies each. In other, words number of cookies left, just before Swarna entered = (24 × 4) = 96. Now this should have been the combined share of Swarna, Sneha and Soumya (3 × 32) that was kept in the box by Swetha . So just before Swarna entered, Swetha must have eaten her share of 32 cookies. Hence, total number of cookies given by Prem uncle = (32 × 4) = 128.

The situation is also shown in the following table:

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Swarna ate 39 cookies, in total.

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