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Puzzles & Brain Teasers
Chalk it Out
57
Solution:
Your teacher uses one chalk each day. Hence the total number of days she uses 49 chalks is 49. Each chalk leaves a fraction of 1/7 its size... so 49 such fractions remain. Since 7 such fractions are joined to give a new chalk, your teacher combines all the fractions to get 7 chalks which can again be used for 7 days. Hence, she has managed to use 49 chalks for (49 + 7) days!
But, what about the leftovers of the chalks used over the last 7 days?? They can be joined to form yet another chalk... which means another day! So, your teacher uses the 49 chalks for a total of 57 days.
Food for thought:
Does the teacher actually use one chalk each day or 6/7 each day? Is there any ambiguity (or lack of clarity) in the problem statement? Interpreting the question posed is an important first step in problem-solving. Re-reading the problem statement often helps!
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