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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.
