if1 8 of a pencil is black 1 2 the remaining..., Simplification, General Mathematics

Question:If`1/8` of a pencil is black, `1/2` of the remaining is white and the remaining `3 1/2` cm
is blue ,then the total lengh  of pencil is :

A `6 cm` 
B `7 cm` 
C `8 cm` 
D `11 cm`

/94

+ AnswerC

+ ExplanationLet, total length `= x cm`.

Black part ` = x/8`.

Remaining `(x - x/8)`

          `7x/8`.

White part `= 1/2 xx (7x)/8`

                  `= (7x)/16`

Remaining `= ((7x)/8 - (7x)/16)`

                `(7x)/16`

    :. `(7x)/16`

   7/2`

or ` x = 16/2 `

  `= b cm`.

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Question:If`1/8` of a pencil is black, `1/2` of the remaining is white and the remaining `3 1/2` cm is blue ,then the total lengh of pencil is :

A `6 cm`

B `7 cm`

C `8 cm`

D `11 cm`

C