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Question

Katie bought some doughnuts for her class party. One classmate ate half of all the doughnuts and another half a doughnut. Each of the next three classmates ate half of all the doughnuts that were left and another half a doughnut. There were no doughnuts left after that. How many doughnuts did Katie buy?

Answer

15

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15

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Working backwards,

4th and last : 1/2 + 1/2 ——- 1

3rd : 1 + (1/2) + (1/2) + 1 ——- 3 

2nd : 3 + (1/2) + (1/2) + 3 ——- 7

1st : 7 + (1/2) + (1/2) + 7 = 15

Ans : 15 doughnuts.

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