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If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?

Correct Answer: 8 cms

Explanation:

Let the total length of the pencil = x cms


From the given data,


'x/8' is black


Remaining part = x - x/8 = 7x/8


1/2 of 7x/8 is white


=> 7x/16 is white (Remaining part is 7x/16)


And given that the remaining part is blue and is 3 1/2 cm = 7/2 = 3.5 cm


That remaining part = 7x/16


Therefore,


7x/16 = 7/2


x = 16/2 = 8


Hence, the total length of the pencil = x = 8 cm.


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