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## Explanation

- If 1/8 of a pencil is black.

- 1/2 of the remaining is white

- and the remaining 3 ½ cm is blue.

Supposing the total length of the pencil is “y”.

Now, black part will be y/8 and left over part will be 7y/8.

White part and blue part will be 7y/16 and 7y/16.

Length of blue part is given = 7/2 cm

So, we have an equation to find out the value of y;

7y/16 = 7/2

It gives value of y (y = 8 which is the total length of the pencil which is our required answer).

## To Find

Total length of the pencil = ?

## Solution

Let suppose

Total length of the pencil = y

Length of the black part = y/8

Remaining length = y – y/8 = 7y/8

1/2 of 7y/8 = 7y/16

Length of white part = 7y/16

Length of blue part = 7y/16

Length of blue part (given) = 7/2 cm

So, both lengths should be equal;

7y/16 = 7/2

y/16 = 1/2

y = 16/2

y = **8 cm answer**

**Conclusion**

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining 3 ½ cm is blue, the total length of the pencil will be 8 cm.